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Math Problems
Grade 8
Write an equation word problem
Find the solution of the system of equations.
\newline
3
x
−
3
y
=
0
15
x
+
6
y
=
42
\begin{aligned} 3 x-3 y & =0 \\ 15 x+6 y & =42 \end{aligned}
3
x
−
3
y
15
x
+
6
y
=
0
=
42
Get tutor help
Find the solution of the system of equations.
\newline
−
8
x
+
12
y
=
−
16
6
x
−
6
y
=
0
\begin{aligned} -8 x+12 y & =-16 \\ 6 x-6 y & =0 \end{aligned}
−
8
x
+
12
y
6
x
−
6
y
=
−
16
=
0
Get tutor help
Find the solution of the system of equations.
\newline
8
x
+
2
y
=
−
2
4
x
−
5
y
=
−
19
\begin{array}{l} 8 x+2 y=-2 \\ 4 x-5 y=-19 \end{array}
8
x
+
2
y
=
−
2
4
x
−
5
y
=
−
19
Get tutor help
Find the solution of the system of equations.
\newline
−
8
x
+
12
y
=
−
16
6
x
−
6
y
=
0
\begin{aligned} -8 x+12 y & =-16 \\ 6 x-6 y & =0 \end{aligned}
−
8
x
+
12
y
6
x
−
6
y
=
−
16
=
0
\newline
Submit Answer
Get tutor help
Find the solution of the system of equations.
\newline
x
−
3
y
=
35
6
x
+
6
y
=
−
30
\begin{aligned} x-3 y & =35 \\ 6 x+6 y & =-30 \end{aligned}
x
−
3
y
6
x
+
6
y
=
35
=
−
30
Get tutor help
Find the solution of the system of equations.
\newline
6
x
−
y
=
−
30
−
3
x
+
6
y
=
−
18
\begin{array}{r} 6 x-y=-30 \\ -3 x+6 y=-18 \end{array}
6
x
−
y
=
−
30
−
3
x
+
6
y
=
−
18
Get tutor help
Find the solution of the system of equations.
\newline
−
2
x
−
9
y
=
19
8
x
−
8
y
=
−
32
\begin{aligned} -2 x-9 y & =19 \\ 8 x-8 y & =-32 \end{aligned}
−
2
x
−
9
y
8
x
−
8
y
=
19
=
−
32
\newline
Submit Answer
Get tutor help
Find the solution of the system of equations.
\newline
4
x
−
5
y
=
−
11
2
x
+
15
y
=
47
\begin{aligned} 4 x-5 y & =-11 \\ 2 x+15 y & =47 \end{aligned}
4
x
−
5
y
2
x
+
15
y
=
−
11
=
47
Get tutor help
Find the solution of the system of equations.
\newline
−
3
x
+
12
y
=
−
30
−
9
x
+
6
y
=
30
\begin{aligned} -3 x+12 y & =-30 \\ -9 x+6 y & =30 \end{aligned}
−
3
x
+
12
y
−
9
x
+
6
y
=
−
30
=
30
Get tutor help
Find the solution of the system of equations.
\newline
−
4
x
+
4
y
=
−
32
9
x
+
2
y
=
−
27
\begin{array}{r} -4 x+4 y=-32 \\ 9 x+2 y=-27 \end{array}
−
4
x
+
4
y
=
−
32
9
x
+
2
y
=
−
27
\newline
(
□
,
□
)
(\square, \square)
(
□
,
□
)
Get tutor help
Find the solution of the system of equations.
\newline
4
x
+
6
y
=
16
3
x
−
2
y
=
25
\begin{array}{l} 4 x+6 y=16 \\ 3 x-2 y=25 \end{array}
4
x
+
6
y
=
16
3
x
−
2
y
=
25
Get tutor help
Find the solution of the system of equations.
\newline
10
x
−
5
y
=
−
15
5
x
−
9
y
=
12
\begin{aligned} 10 x-5 y & =-15 \\ 5 x-9 y & =12 \end{aligned}
10
x
−
5
y
5
x
−
9
y
=
−
15
=
12
Get tutor help
Find the solution of the system of equations.
\newline
3
x
+
12
y
=
−
33
−
5
x
+
6
y
=
3
\begin{aligned} 3 x+12 y & =-33 \\ -5 x+6 y & =3 \end{aligned}
3
x
+
12
y
−
5
x
+
6
y
=
−
33
=
3
Get tutor help
Find the solution of the system of equations.
\newline
8
x
+
2
y
=
12
−
4
x
+
y
=
−
26
\begin{array}{l} 8 x+2 y=12 \\ -4 x+y=-26 \end{array}
8
x
+
2
y
=
12
−
4
x
+
y
=
−
26
Get tutor help
Find the solution of the system of equations.
\newline
6
x
−
y
=
−
30
−
3
x
+
6
y
=
−
18
\begin{array}{r} 6 x-y=-30 \\ -3 x+6 y=-18 \end{array}
6
x
−
y
=
−
30
−
3
x
+
6
y
=
−
18
\newline
(
□
,
□
)
(\square, \square)
(
□
,
□
)
Get tutor help
Find the solution of the system of equations.
\newline
−
2
x
−
9
y
=
19
8
x
−
8
y
=
−
32
\begin{aligned} -2 x-9 y & =19 \\ 8 x-8 y & =-32 \end{aligned}
−
2
x
−
9
y
8
x
−
8
y
=
19
=
−
32
Get tutor help
Find the solution of the system of equations.
\newline
x
−
5
y
=
−
24
5
x
+
10
y
=
−
15
\begin{aligned} x-5 y & =-24 \\ 5 x+10 y & =-15 \end{aligned}
x
−
5
y
5
x
+
10
y
=
−
24
=
−
15
Get tutor help
Find the solution of the system of equations.
\newline
4
x
+
y
=
−
43
2
x
−
8
y
=
4
\begin{aligned} 4 x+y & =-43 \\ 2 x-8 y & =4 \end{aligned}
4
x
+
y
2
x
−
8
y
=
−
43
=
4
Get tutor help
Find the solution of the system of equations.
\newline
4
x
−
y
=
15
8
x
+
7
y
=
−
33
\begin{aligned} 4 x-y & =15 \\ 8 x+7 y & =-33 \end{aligned}
4
x
−
y
8
x
+
7
y
=
15
=
−
33
Get tutor help
Find the solution of the system of equations.
\newline
−
3
x
−
9
y
=
−
30
6
x
+
7
y
=
−
6
\begin{aligned} -3 x-9 y & =-30 \\ 6 x+7 y & =-6 \end{aligned}
−
3
x
−
9
y
6
x
+
7
y
=
−
30
=
−
6
Get tutor help
Find the solution of the system of equations.
\newline
−
x
+
6
y
=
23
−
8
x
−
3
y
=
31
\begin{aligned} -x+6 y & =23 \\ -8 x-3 y & =31 \end{aligned}
−
x
+
6
y
−
8
x
−
3
y
=
23
=
31
\newline
(
□
,
□
)
(\square, \square)
(
□
,
□
)
Get tutor help
Find the solution of the system of equations.
\newline
−
3
x
−
9
y
=
−
30
6
x
+
7
y
=
−
6
\begin{aligned} -3 x-9 y & =-30 \\ 6 x+7 y & =-6 \end{aligned}
−
3
x
−
9
y
6
x
+
7
y
=
−
30
=
−
6
\newline
Submit Answer
Get tutor help
Find the solution of the system of equations.
\newline
4
x
+
14
y
=
−
46
−
9
x
−
7
y
=
30
\begin{aligned} 4 x+14 y & =-46 \\ -9 x-7 y & =30 \end{aligned}
4
x
+
14
y
−
9
x
−
7
y
=
−
46
=
30
Get tutor help
Find the solution of the system of equations.
\newline
−
5
x
+
15
y
=
20
x
+
5
y
=
−
12
\begin{aligned} -5 x+15 y & =20 \\ x+5 y & =-12 \end{aligned}
−
5
x
+
15
y
x
+
5
y
=
20
=
−
12
Get tutor help
Find the solution of the system of equations.
\newline
12
x
−
10
y
=
2
−
6
x
+
7
y
=
−
11
\begin{array}{l} 12 x-10 y=2 \\ -6 x+7 y=-11 \end{array}
12
x
−
10
y
=
2
−
6
x
+
7
y
=
−
11
\newline
(
□
,
□
)
(\square, \square)
(
□
,
□
)
Get tutor help
Find the solution of the system of equations.
\newline
4
x
−
8
y
=
16
8
x
−
9
y
=
39
\begin{array}{l} 4 x-8 y=16 \\ 8 x-9 y=39 \end{array}
4
x
−
8
y
=
16
8
x
−
9
y
=
39
Get tutor help
Find the solution of the system of equations.
\newline
4
x
+
2
y
=
24
8
x
−
3
y
=
−
22
\begin{array}{l} 4 x+2 y=24 \\ 8 x-3 y=-22 \end{array}
4
x
+
2
y
=
24
8
x
−
3
y
=
−
22
Get tutor help
Solve each equation.
\newline
3
(
x
−
4
)
=
2
(
−
2
x
+
1
)
3(x-4)=2(-2x+1)
3
(
x
−
4
)
=
2
(
−
2
x
+
1
)
Get tutor help
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
\newline
3
x
+
6
y
=
45
3
x
−
7
y
=
−
46
\begin{array}{l} 3 x+6 y=45 \\ 3 x-7 y=-46 \end{array}
3
x
+
6
y
=
45
3
x
−
7
y
=
−
46
\newline
Add to eliminate
x
\mathbf{x}
x
.
\newline
Subtract to eliminate
x
\mathbf{x}
x
.
\newline
Subtract to eliminate
y
\mathbf{y}
y
.
\newline
Add to eliminate
y
\mathbf{y}
y
.
Get tutor help
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
\newline
2
x
−
9
y
=
−
59
6
x
−
9
y
=
−
87
\begin{array}{l} 2 x-9 y=-59 \\ 6 x-9 y=-87 \end{array}
2
x
−
9
y
=
−
59
6
x
−
9
y
=
−
87
\newline
Add to eliminate
x
\mathbf{x}
x
.
\newline
Subtract to eliminate
y
\mathbf{y}
y
.
\newline
Subtract to eliminate
x
\mathbf{x}
x
.
\newline
Add to eliminate
y
\mathbf{y}
y
.
Get tutor help
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
\newline
−
6
x
+
y
=
−
8
−
6
x
+
8
y
=
−
22
\begin{array}{c} -6 x+y=-8 \\ -6 x+8 y=-22 \end{array}
−
6
x
+
y
=
−
8
−
6
x
+
8
y
=
−
22
\newline
Add to eliminate
x
\mathbf{x}
x
.
\newline
Subtract to eliminate
y
\mathbf{y}
y
.
\newline
Add to eliminate
y
\mathbf{y}
y
.
\newline
Subtract to eliminate
x
\mathbf{x}
x
.
Get tutor help
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
\newline
8
x
+
7
y
=
92
−
8
x
−
6
y
=
−
88
\begin{aligned} 8 x+7 y & =92 \\ -8 x-6 y & =-88 \end{aligned}
8
x
+
7
y
−
8
x
−
6
y
=
92
=
−
88
\newline
Subtract to eliminate
y
\mathbf{y}
y
.
\newline
Subtract to eliminate
x
\mathbf{x}
x
.
\newline
Add to eliminate
y
\mathbf{y}
y
.
\newline
Add to eliminate
x
\mathbf{x}
x
.
Get tutor help
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
\newline
7
x
+
9
y
=
−
66
−
7
x
+
3
y
=
6
\begin{aligned} 7 x+9 y & =-66 \\ -7 x+3 y & =6 \end{aligned}
7
x
+
9
y
−
7
x
+
3
y
=
−
66
=
6
\newline
Add to eliminate
x
\mathbf{x}
x
.
\newline
Subtract to eliminate
x
\mathbf{x}
x
.
\newline
Subtract to eliminate
y
\mathbf{y}
y
.
\newline
Add to eliminate
y
\mathbf{y}
y
.
Get tutor help
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
\newline
8
x
−
3
y
=
49
8
x
−
6
y
=
58
\begin{array}{l} 8 x-3 y=49 \\ 8 x-6 y=58 \end{array}
8
x
−
3
y
=
49
8
x
−
6
y
=
58
\newline
Add to eliminate
x
\mathbf{x}
x
.
\newline
Subtract to eliminate
x
\mathbf{x}
x
.
\newline
Subtract to eliminate
y
\mathbf{y}
y
.
\newline
Add to eliminate
y
\mathbf{y}
y
.
Get tutor help
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
\newline
−
9
x
−
4
y
=
126
−
6
x
+
4
y
=
24
\begin{array}{l} -9 x-4 y=126 \\ -6 x+4 y=24 \end{array}
−
9
x
−
4
y
=
126
−
6
x
+
4
y
=
24
\newline
Subtract to eliminate
y
\mathbf{y}
y
.
\newline
Add to eliminate
x
\mathbf{x}
x
.
\newline
Subtract to eliminate
x
\mathbf{x}
x
.
\newline
Add to eliminate
y
\mathbf{y}
y
.
Get tutor help
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
\newline
x
−
7
y
=
33
7
x
−
7
y
=
21
\begin{aligned} x-7 y & =33 \\ 7 x-7 y & =21 \end{aligned}
x
−
7
y
7
x
−
7
y
=
33
=
21
\newline
Add to eliminate
y
\mathbf{y}
y
.
\newline
Add to eliminate
x
\mathbf{x}
x
.
\newline
Subtract to eliminate
x
\mathbf{x}
x
.
\newline
Subtract to eliminate
y
\mathbf{y}
y
.
Get tutor help
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
\newline
10
x
−
8
y
=
−
12
4
x
+
8
y
=
96
\begin{array}{c} 10 x-8 y=-12 \\ 4 x+8 y=96 \end{array}
10
x
−
8
y
=
−
12
4
x
+
8
y
=
96
\newline
Add to eliminate
x
\mathbf{x}
x
.
\newline
Subtract to eliminate
y
\mathbf{y}
y
.
\newline
Add to eliminate
y
\mathbf{y}
y
.
\newline
Subtract to eliminate
x
\mathbf{x}
x
.
Get tutor help
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
\newline
−
5
x
−
10
y
=
−
140
−
5
x
−
3
y
=
−
77
\begin{aligned} -5 x-10 y & =-140 \\ -5 x-3 y & =-77 \end{aligned}
−
5
x
−
10
y
−
5
x
−
3
y
=
−
140
=
−
77
\newline
Add to eliminate
y
\mathbf{y}
y
.
\newline
Subtract to eliminate
x
\mathbf{x}
x
.
\newline
Add to eliminate
x
\mathbf{x}
x
.
\newline
Subtract to eliminate
y
\mathbf{y}
y
.
Get tutor help
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.
\newline
5
x
−
7
y
=
−
58
−
9
x
+
7
y
=
54
\begin{aligned} 5 x-7 y & =-58 \\ -9 x+7 y & =54 \end{aligned}
5
x
−
7
y
−
9
x
+
7
y
=
−
58
=
54
\newline
Subtract to eliminate
y
\mathbf{y}
y
.
\newline
Add to eliminate
x
\mathbf{x}
x
.
\newline
Subtract to eliminate
x
\mathbf{x}
x
.
\newline
Add to eliminate
y
\mathbf{y}
y
.
Get tutor help
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
\newline
x
+
6
y
=
−
6
2
x
+
13
y
=
−
10
\begin{aligned} x+6 y & =-6 \\ 2 x+13 y & =-10 \end{aligned}
x
+
6
y
2
x
+
13
y
=
−
6
=
−
10
\newline
No Solutions
\newline
Infinitely Many Solutions
\newline
One Solution
Get tutor help
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
\newline
−
x
+
2
y
=
−
1
5
x
−
10
y
=
5
\begin{aligned} -x+2 y & =-1 \\ 5 x-10 y & =5 \end{aligned}
−
x
+
2
y
5
x
−
10
y
=
−
1
=
5
\newline
One Solution
\newline
Infinitely Many Solutions
\newline
No Solutions
Get tutor help
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
\newline
−
x
+
y
=
3
−
2
x
+
2
y
=
3
\begin{array}{r} -x+y=3 \\ -2 x+2 y=3 \end{array}
−
x
+
y
=
3
−
2
x
+
2
y
=
3
\newline
No Solutions
\newline
Infinitely Many Solutions
\newline
One Solution
Get tutor help
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
\newline
x
+
y
=
−
9
−
x
−
y
=
9
\begin{aligned} x+y & =-9 \\ -x-y & =9 \end{aligned}
x
+
y
−
x
−
y
=
−
9
=
9
\newline
No Solutions
\newline
Infinitely Many Solutions
\newline
One Solution
Get tutor help
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
\newline
4
x
+
y
=
4
−
6
x
−
y
=
−
6
\begin{array}{c} 4 x+y=4 \\ -6 x-y=-6 \end{array}
4
x
+
y
=
4
−
6
x
−
y
=
−
6
\newline
One Solution
\newline
Infinitely Many Solutions
\newline
No Solutions
Get tutor help
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
\newline
−
2
x
+
y
=
−
5
2
x
−
y
=
5
\begin{aligned} -2 x+y & =-5 \\ 2 x-y & =5 \end{aligned}
−
2
x
+
y
2
x
−
y
=
−
5
=
5
\newline
No Solutions
\newline
Infinitely Many Solutions
\newline
One Solution
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Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
\newline
x
+
3
y
=
7
x
−
3
y
=
−
10
\begin{array}{l} x+3 y=7 \\ x-3 y=-10 \end{array}
x
+
3
y
=
7
x
−
3
y
=
−
10
\newline
One Solution
\newline
Infinitely Many Solutions
\newline
No Solutions
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Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
\newline
x
+
6
y
=
8
−
x
−
6
y
=
−
8
\begin{aligned} x+6 y & =8 \\ -x-6 y & =-8 \end{aligned}
x
+
6
y
−
x
−
6
y
=
8
=
−
8
\newline
No Solutions
\newline
One Solution
\newline
Infinitely Many Solutions
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Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
\newline
x
+
6
y
=
1
−
2
x
−
12
y
=
−
3
\begin{aligned} x+6 y & =1 \\ -2 x-12 y & =-3 \end{aligned}
x
+
6
y
−
2
x
−
12
y
=
1
=
−
3
\newline
One Solution
\newline
Infinitely Many Solutions
\newline
No Solutions
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The equations are graphed in the
x
y
xy
x
y
-plane. Which equation's graph will have a slope of
7
8
\frac{7}{8}
8
7
and a
y
y
y
intercept of
3
3
3
?
\newline
Choose
1
1
1
answer:
\newline
(A)
7
x
+
8
y
=
24
7x+8y=24
7
x
+
8
y
=
24
\newline
(B)
7
x
−
8
y
=
−
24
7x-8y=-24
7
x
−
8
y
=
−
24
\newline
(C)
8
x
+
7
y
=
3
8x+7y=3
8
x
+
7
y
=
3
\newline
(D)
7
x
−
8
y
=
3
7x-8y=3
7
x
−
8
y
=
3
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Solve the equation.
\newline
27
=
15
+
n
n
=
□
\begin{array}{l} 27 = 15 + n \\ n = \square \end{array}
27
=
15
+
n
n
=
□
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