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Math Problems
Algebra 1
Find the number of solutions to a system of equations
How many solutions does the system of equations below have?
\newline
y
=
1
3
x
+
1
10
y = \frac{1}{3}x + \frac{1}{10}
y
=
3
1
x
+
10
1
\newline
y
=
1
3
x
+
1
10
y = \frac{1}{3}x + \frac{1}{10}
y
=
3
1
x
+
10
1
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
4
x
−
9
y = 4x - 9
y
=
4
x
−
9
\newline
y
=
3
10
x
+
1
9
y = \frac{3}{10}x + \frac{1}{9}
y
=
10
3
x
+
9
1
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
1
2
x
−
2
3
y = \frac{1}{2}x - \frac{2}{3}
y
=
2
1
x
−
3
2
\newline
y
=
−
2
7
x
+
4
9
y = -\frac{2}{7}x + \frac{4}{9}
y
=
−
7
2
x
+
9
4
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
3
2
x
+
6
y = \frac{3}{2}x + 6
y
=
2
3
x
+
6
\newline
y
=
3
2
x
+
7
8
y = \frac{3}{2}x + \frac{7}{8}
y
=
2
3
x
+
8
7
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
−
10
x
+
5
8
y = -10x + \frac{5}{8}
y
=
−
10
x
+
8
5
\newline
y
=
−
10
x
+
5
8
y = -10x + \frac{5}{8}
y
=
−
10
x
+
8
5
\newline
Choices:
\newline
(A) no solution
\newline
(B) one solution
\newline
(C) infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
−
4
x
−
4
9
y = -4x - \frac{4}{9}
y
=
−
4
x
−
9
4
\newline
y
=
5
7
x
−
9
5
y = \frac{5}{7}x - \frac{9}{5}
y
=
7
5
x
−
5
9
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
−
6
x
+
10
y = -6x + 10
y
=
−
6
x
+
10
\newline
y
=
7
3
x
+
2
3
y = \frac{7}{3}x + \frac{2}{3}
y
=
3
7
x
+
3
2
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
7
3
x
−
5
3
y = \frac{7}{3}x - \frac{5}{3}
y
=
3
7
x
−
3
5
\newline
y
=
10
7
x
+
7
10
y = \frac{10}{7}x + \frac{7}{10}
y
=
7
10
x
+
10
7
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
6
x
+
7
y = 6x + 7
y
=
6
x
+
7
\newline
y
=
6
x
+
7
y = 6x + 7
y
=
6
x
+
7
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
3
x
+
7
y = 3x + 7
y
=
3
x
+
7
\newline
y
=
4
5
x
+
1
3
y = \frac{4}{5}x + \frac{1}{3}
y
=
5
4
x
+
3
1
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
8
x
−
8
y = 8x - 8
y
=
8
x
−
8
\newline
y
=
7
3
x
+
5
4
y = \frac{7}{3}x + \frac{5}{4}
y
=
3
7
x
+
4
5
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
−
3
x
−
7
y = -3x - 7
y
=
−
3
x
−
7
\newline
y
=
−
3
x
−
7
y = -3x - 7
y
=
−
3
x
−
7
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
7
x
+
10
y = 7x + 10
y
=
7
x
+
10
\newline
y
=
6
7
x
+
7
5
y = \frac{6}{7}x + \frac{7}{5}
y
=
7
6
x
+
5
7
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
3
x
+
8
y = 3x + 8
y
=
3
x
+
8
\newline
y
=
3
x
+
8
y = 3x + 8
y
=
3
x
+
8
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
6
x
+
1
y = 6x + 1
y
=
6
x
+
1
\newline
y
=
6
x
+
1
2
y = 6x + \frac{1}{2}
y
=
6
x
+
2
1
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
−
7
4
x
+
1
8
y = -\frac{7}{4}x + \frac{1}{8}
y
=
−
4
7
x
+
8
1
\newline
y
=
5
6
x
+
4
7
y = \frac{5}{6}x + \frac{4}{7}
y
=
6
5
x
+
7
4
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
−
3
x
+
4
7
y = -3x + \frac{4}{7}
y
=
−
3
x
+
7
4
\newline
y
=
−
3
x
−
7
8
y = -3x - \frac{7}{8}
y
=
−
3
x
−
8
7
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
9
x
−
5
3
y = 9x - \frac{5}{3}
y
=
9
x
−
3
5
\newline
y
=
9
x
+
2
5
y = 9x + \frac{2}{5}
y
=
9
x
+
5
2
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
4
7
x
−
7
y = \frac{4}{7}x - 7
y
=
7
4
x
−
7
\newline
y
=
−
8
9
x
+
8
7
y = -\frac{8}{9}x + \frac{8}{7}
y
=
−
9
8
x
+
7
8
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
x
+
7
y = x + 7
y
=
x
+
7
\newline
y
=
x
+
7
y = x + 7
y
=
x
+
7
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
−
4
x
+
4
3
y = -4x + \frac{4}{3}
y
=
−
4
x
+
3
4
\newline
y
=
−
4
x
+
8
3
y = -4x + \frac{8}{3}
y
=
−
4
x
+
3
8
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
1
8
x
−
8
y = \frac{1}{8}x - 8
y
=
8
1
x
−
8
\newline
y
=
1
8
x
−
8
y = \frac{1}{8}x - 8
y
=
8
1
x
−
8
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
9
x
+
2
y = 9x + 2
y
=
9
x
+
2
\newline
y
=
9
x
+
2
y = 9x + 2
y
=
9
x
+
2
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
7
x
−
7
y = 7x - 7
y
=
7
x
−
7
\newline
y
=
8
5
x
+
8
5
y = \frac{8}{5}x + \frac{8}{5}
y
=
5
8
x
+
5
8
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
1
7
x
+
9
2
y = \frac{1}{7}x + \frac{9}{2}
y
=
7
1
x
+
2
9
\newline
y
=
1
7
x
−
9
10
y = \frac{1}{7}x - \frac{9}{10}
y
=
7
1
x
−
10
9
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
−
9
5
x
+
7
y = -\frac{9}{5}x + 7
y
=
−
5
9
x
+
7
\newline
y
=
−
9
5
x
+
10
9
y = -\frac{9}{5}x + \frac{10}{9}
y
=
−
5
9
x
+
9
10
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
7
x
+
6
y = 7x + 6
y
=
7
x
+
6
\newline
y
=
7
x
+
7
2
y = 7x + \frac{7}{2}
y
=
7
x
+
2
7
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
−
3
x
+
4
y = -3x + 4
y
=
−
3
x
+
4
\newline
y
=
1
5
x
−
8
3
y = \frac{1}{5}x - \frac{8}{3}
y
=
5
1
x
−
3
8
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
−
7
x
−
2
y = -7x - 2
y
=
−
7
x
−
2
\newline
y
=
−
7
x
+
7
2
y = -7x + \frac{7}{2}
y
=
−
7
x
+
2
7
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
5
8
x
−
6
y = \frac{5}{8}x - 6
y
=
8
5
x
−
6
\newline
y
=
5
8
x
+
9
4
y = \frac{5}{8}x + \frac{9}{4}
y
=
8
5
x
+
4
9
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
8
x
−
8
y = 8x - 8
y
=
8
x
−
8
\newline
y
=
7
3
x
+
8
7
y = \frac{7}{3}x + \frac{8}{7}
y
=
3
7
x
+
7
8
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
7
x
−
3
y = 7x - 3
y
=
7
x
−
3
\newline
y
=
7
x
−
3
y = 7x - 3
y
=
7
x
−
3
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
−
9
x
+
9
4
y = -9x + \frac{9}{4}
y
=
−
9
x
+
4
9
\newline
y
=
−
9
x
+
6
5
y = -9x + \frac{6}{5}
y
=
−
9
x
+
5
6
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
−
7
x
−
2
y = -7x - 2
y
=
−
7
x
−
2
\newline
y
=
−
7
x
−
2
3
y = -7x - \frac{2}{3}
y
=
−
7
x
−
3
2
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
−
2
x
−
7
y = -2x - 7
y
=
−
2
x
−
7
\newline
y
=
8
3
x
+
1
9
y = \frac{8}{3}x + \frac{1}{9}
y
=
3
8
x
+
9
1
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
−
3
x
+
1
8
y = -3x + \frac{1}{8}
y
=
−
3
x
+
8
1
\newline
y
=
5
6
x
+
7
9
y = \frac{5}{6}x + \frac{7}{9}
y
=
6
5
x
+
9
7
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
9
2
x
+
8
3
y = \frac{9}{2}x + \frac{8}{3}
y
=
2
9
x
+
3
8
\newline
y
=
9
2
x
−
3
10
y = \frac{9}{2}x - \frac{3}{10}
y
=
2
9
x
−
10
3
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
8
x
+
7
y = 8x + 7
y
=
8
x
+
7
\newline
y
=
8
x
+
7
y = 8x + 7
y
=
8
x
+
7
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
7
3
x
+
3
10
y = \frac{7}{3}x + \frac{3}{10}
y
=
3
7
x
+
10
3
\newline
y
=
−
4
5
x
−
4
5
y = -\frac{4}{5}x - \frac{4}{5}
y
=
−
5
4
x
−
5
4
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
−
2
x
−
1
y = -2x - 1
y
=
−
2
x
−
1
\newline
y
=
9
7
x
+
3
5
y = \frac{9}{7}x + \frac{3}{5}
y
=
7
9
x
+
5
3
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
5
4
x
+
5
9
y = \frac{5}{4}x + \frac{5}{9}
y
=
4
5
x
+
9
5
\newline
y
=
1
7
x
+
1
5
y = \frac{1}{7}x + \frac{1}{5}
y
=
7
1
x
+
5
1
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
−
7
x
+
2
y = -7x + 2
y
=
−
7
x
+
2
\newline
y
=
3
5
x
+
5
7
y = \frac{3}{5}x + \frac{5}{7}
y
=
5
3
x
+
7
5
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
7
x
+
5
9
y = 7x + \frac{5}{9}
y
=
7
x
+
9
5
\newline
y
=
5
3
x
+
5
8
y = \frac{5}{3}x + \frac{5}{8}
y
=
3
5
x
+
8
5
\newline
Choices:
\newline
(A) no solution
\newline
(B) one solution
\newline
(C) infinitely many solutions
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How many solutions does the system of equations below have?
\newline
y
=
−
3
x
+
3
y = -3x + 3
y
=
−
3
x
+
3
\newline
y
=
−
9
10
x
+
2
3
y = -\frac{9}{10}x + \frac{2}{3}
y
=
−
10
9
x
+
3
2
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
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How many solutions does the system of equations below have?
\newline
y
=
10
9
x
+
4
y = \frac{10}{9}x + 4
y
=
9
10
x
+
4
\newline
y
=
1
5
x
+
1
5
y = \frac{1}{5}x + \frac{1}{5}
y
=
5
1
x
+
5
1
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
9
10
x
+
6
y = \frac{9}{10}x + 6
y
=
10
9
x
+
6
\newline
y
=
9
10
x
+
6
y = \frac{9}{10}x + 6
y
=
10
9
x
+
6
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
−
7
x
−
3
y = -7x - 3
y
=
−
7
x
−
3
\newline
y
=
4
5
x
+
1
8
y = \frac{4}{5}x + \frac{1}{8}
y
=
5
4
x
+
8
1
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
How many solutions does the system of equations below have?
\newline
y
=
7
x
−
2
7
y = 7x - \frac{2}{7}
y
=
7
x
−
7
2
\newline
y
=
5
8
x
−
6
7
y = \frac{5}{8}x - \frac{6}{7}
y
=
8
5
x
−
7
6
\newline
Choices:
\newline
(A)no solution
\newline
(B)one solution
\newline
(C)infinitely many solutions
Get tutor help
4
y
2
+
9
=
6
x
+
3
4 y^{2}+9=6 x+3
4
y
2
+
9
=
6
x
+
3
\newline
4
y
=
2
x
+
1
4 y=2 x+1
4
y
=
2
x
+
1
\newline
If
(
x
,
y
)
(x, y)
(
x
,
y
)
is the solution to the system of equations shown, what is the value of
y
y
y
?
\newline
How do I enter a student-produced response on the SAT? [show me!] S
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19
−
38
y
=
76
x
19-38 y=76 x
19
−
38
y
=
76
x
\newline
24
x
=
−
6
(
2
y
−
1
)
24 x=-6(2 y-1)
24
x
=
−
6
(
2
y
−
1
)
\newline
Consider the system of equations. How many solutions
(
x
,
y
)
(x, y)
(
x
,
y
)
does this system have?
\newline
Choose
1
1
1
answer:
\newline
(A)
0
0
0
\newline
(B) Exactly
1
1
1
\newline
(C) Exactly
2
2
2
\newline
(D) Infinitely many
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