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Let’s check out your problem:
Solve using substitution.
\newline
2
x
−
5
y
=
−
16
x
=
7
\begin{array}{l} 2 x-5 y=-16 \\ x=7 \end{array}
2
x
−
5
y
=
−
16
x
=
7
\newline
(
□
,
□
)
(\square,\square)
(
□
,
□
)
View step-by-step help
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Math Problems
Algebra 2
Solve a system of equations using substitution
Full solution
Q.
Solve using substitution.
\newline
2
x
−
5
y
=
−
16
x
=
7
\begin{array}{l} 2 x-5 y=-16 \\ x=7 \end{array}
2
x
−
5
y
=
−
16
x
=
7
\newline
(
□
,
□
)
(\square,\square)
(
□
,
□
)
Substitute
x
=
7
x = 7
x
=
7
:
Substitute
x
=
7
x = 7
x
=
7
in the equation
2
x
−
5
y
=
−
16
2x - 5y = -16
2
x
−
5
y
=
−
16
and then simplify.
\newline
Calculation:
2
(
7
)
−
5
y
=
−
16
2(7) - 5y = -16
2
(
7
)
−
5
y
=
−
16
\newline
14
−
5
y
=
−
16
14 - 5y = -16
14
−
5
y
=
−
16
Solve for y:
Solve for y in the equation
14
−
5
y
=
−
16
14 - 5y = -16
14
−
5
y
=
−
16
.
Calculation:
14
−
5
y
=
−
16
14 - 5y = -16
14
−
5
y
=
−
16
−
5
y
=
−
16
−
14
-5y = -16 - 14
−
5
y
=
−
16
−
14
−
5
y
=
−
30
-5y = -30
−
5
y
=
−
30
y
=
−
30
/
−
5
y = -30 / -5
y
=
−
30/
−
5
y
=
6
y = 6
y
=
6
Write coordinate point:
We found that
x
=
7
x = 7
x
=
7
and
y
=
6
y = 6
y
=
6
. Write the solution as a coordinate point.
\newline
The coordinate point is
(
7
,
6
)
(7, 6)
(
7
,
6
)
.
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Solve using substitution.
5
x
−
2
y
=
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7
5x - 2y = -7
5
x
−
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x
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(_,_)
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Is
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y
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4x + 10y = 14
4
x
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\newline
x
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y
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\newline
Choices:
\newline
(A) yes
\newline
(B) no
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Question
Which describes the system of equations below?
\newline
y
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\newline
y
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\newline
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\newline
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\text{(A) consistent and independent}
(A) consistent and independent
\newline
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\text{(B) consistent and dependent}
(B) consistent and dependent
\newline
(C) inconsistent
\text{(C) inconsistent}
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Question
Solve using elimination.
\newline
7
x
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y
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7
x
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y
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17
\newline
−
7
x
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y
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x
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y
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\newline
(
_
_
_
_
,
_
_
_
_
)
(\_\_\_\_, \_\_\_\_)
(
____
,
____
)
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Question
Solve.
\newline
x
=
−
2
x = -2
x
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2
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−
2
x
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2
y
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8
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−
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x
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2
y
=
−
8
\newline
(
_
_
_
_
,
_
_
_
_
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(\_\_\_\_, \_\_\_\_)
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____
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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
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\newline
Hot dog meals cost
$
\$
$
_______ each, and hamburger meals cost
$
\$
$
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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
(____.____,____)
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Posted 6 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
(
_
,
_
,
_
)
(\_,\_,\_)
(
_
,
_
,
_
)
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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
(
_
,
_
)
(\_,\_)
(
_
,
_
)
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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
(
_
,
_
)
(\_,\_)
(
_
,
_
)
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Posted 6 months ago
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