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Solve.
\newline
5
x
+
y
=
−
11
5x + y = -11
5
x
+
y
=
−
11
\newline
−
2
x
−
y
=
−
1
-2x - y = -1
−
2
x
−
y
=
−
1
\newline
(_____, _____)
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Math Problems
Grade 8
Solve a system of equations using any method
Full solution
Q.
Solve.
\newline
5
x
+
y
=
−
11
5x + y = -11
5
x
+
y
=
−
11
\newline
−
2
x
−
y
=
−
1
-2x - y = -1
−
2
x
−
y
=
−
1
\newline
(_____, _____)
Add equations to eliminate
y
y
y
:
Step
1
1
1
: Add the two equations to eliminate
y
y
y
.
5
x
+
y
=
−
11
5x + y = -11
5
x
+
y
=
−
11
−
2
x
−
y
=
−
1
-2x - y = -1
−
2
x
−
y
=
−
1
----------------
3
x
=
−
12
3x = -12
3
x
=
−
12
Solve for x:
Step
2
2
2
: Solve for x.
\newline
3
x
=
−
12
3x = -12
3
x
=
−
12
\newline
x
=
−
12
/
3
x = -12 / 3
x
=
−
12/3
\newline
x
=
−
4
x = -4
x
=
−
4
Substitute
x
x
x
back to solve for
y
y
y
:
Step
3
3
3
: Substitute
x
=
−
4
x = -4
x
=
−
4
back into the first equation to solve for
y
y
y
.
5
(
−
4
)
+
y
=
−
11
5(-4) + y = -11
5
(
−
4
)
+
y
=
−
11
−
20
+
y
=
−
11
-20 + y = -11
−
20
+
y
=
−
11
y
=
−
11
+
20
y = -11 + 20
y
=
−
11
+
20
y
=
9
y = 9
y
=
9
More problems from Solve a system of equations using any method
Question
Solve using substitution.
5
x
−
2
y
=
−
7
5x - 2y = -7
5
x
−
2
y
=
−
7
x
=
−
5
x = -5
x
=
−
5
(_,_)
Get tutor help
Posted 5 months ago
Question
Is
(
1
,
1
)
(1,1)
(
1
,
1
)
a solution to this system of equations?
\newline
4
x
+
10
y
=
14
4x + 10y = 14
4
x
+
10
y
=
14
\newline
x
+
6
y
=
7
x + 6y = 7
x
+
6
y
=
7
\newline
Choices:
\newline
(A) yes
\newline
(B) no
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Posted 5 months ago
Question
Which describes the system of equations below?
\newline
y
=
–
3
x
+
9
y = –3x + 9
y
=
–3
x
+
9
\newline
y
=
–
3
x
+
9
y = –3x + 9
y
=
–3
x
+
9
\newline
Choices:
\newline
(A) consistent and independent
\text{(A) consistent and independent}
(A) consistent and independent
\newline
(B) consistent and dependent
\text{(B) consistent and dependent}
(B) consistent and dependent
\newline
(C) inconsistent
\text{(C) inconsistent}
(C) inconsistent
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Posted 5 months ago
Question
Solve using elimination.
\newline
7
x
−
8
y
=
−
17
7x - 8y = -17
7
x
−
8
y
=
−
17
\newline
−
7
x
+
3
y
=
2
-7x + 3y = 2
−
7
x
+
3
y
=
2
\newline
(
_
_
_
_
,
_
_
_
_
)
(\_\_\_\_, \_\_\_\_)
(
____
,
____
)
Get tutor help
Posted 5 months ago
Question
Solve.
\newline
x
=
−
2
x = -2
x
=
−
2
\newline
−
2
x
+
2
y
=
−
8
-2x + 2y = -8
−
2
x
+
2
y
=
−
8
\newline
(
_
_
_
_
,
_
_
_
_
)
(\_\_\_\_, \_\_\_\_)
(
____
,
____
)
Get tutor help
Posted 8 months ago
Question
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
\newline
At a community barbecue, Mrs. Wilkerson and Mr. Hogan are buying dinner for their families. Mrs. Wilkerson purchases
3
3
3
hot dog meals and
3
3
3
hamburger meals, paying a total of
$
36
\$36
$36
. Mr. Hogan buys
1
1
1
hot dog meal and
3
3
3
hamburger meals, spending
$
26
\$26
$26
in all. How much do the meals cost?
\newline
Hot dog meals cost
$
\$
$
_______ each, and hamburger meals cost
$
\$
$
________ each.
Get tutor help
Posted 8 months ago
Question
Solve the system of equations by substitution.
\newline
−
3
x
−
y
−
3
z
=
−
11
-3x - y - 3z = -11
−
3
x
−
y
−
3
z
=
−
11
\newline
z
=
5
z = 5
z
=
5
\newline
x
−
y
+
3
z
=
19
x - y + 3z = 19
x
−
y
+
3
z
=
19
\newline
(____.____,____)
Get tutor help
Posted 5 months ago
Question
Solve the system of equations by elimination.
\newline
x
−
3
y
−
2
z
=
10
x - 3y - 2z = 10
x
−
3
y
−
2
z
=
10
\newline
3
x
+
2
y
+
2
z
=
14
3x + 2y + 2z = 14
3
x
+
2
y
+
2
z
=
14
\newline
2
x
−
3
y
−
2
z
=
16
2x - 3y - 2z = 16
2
x
−
3
y
−
2
z
=
16
\newline
(
_
,
_
,
_
)
(\_,\_,\_)
(
_
,
_
,
_
)
Get tutor help
Posted 5 months ago
Question
Solve the system of equations.
\newline
y
=
x
2
+
36
x
+
3
y = x^2 + 36x + 3
y
=
x
2
+
36
x
+
3
\newline
y
=
22
x
−
37
y = 22x - 37
y
=
22
x
−
37
\newline
Write the coordinates in exact form. Simplify all fractions and radicals.
\newline
(
_
,
_
)
(\_,\_)
(
_
,
_
)
\newline
(
_
,
_
)
(\_,\_)
(
_
,
_
)
Get tutor help
Posted 5 months ago
Question
Solve the system of equations.
\newline
y
=
−
x
−
24
y = -x - 24
y
=
−
x
−
24
\newline
x
2
+
y
2
=
488
x^2 + y^2 = 488
x
2
+
y
2
=
488
\newline
Write the coordinates in exact form. Simplify all fractions and radicals.
\newline
(
_
,
_
)
(\_,\_)
(
_
,
_
)
\newline
(
_
,
_
)
(\_,\_)
(
_
,
_
)
Get tutor help
Posted 5 months ago
Related topics
Algebra - Order of Operations
Algebra - Distributive Property
`X` and `Y` Axes
Geometry - Scalene Triangle
Common Multiple
Geometry - Quadrant