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Let’s check out your problem:
What is
y
−
4
=
−
2
(
x
+
7
)
y-4=-2(x+7)
y
−
4
=
−
2
(
x
+
7
)
written in standard form?
\newline
Choose
1
1
1
answer:
\newline
(A)
2
x
+
y
=
−
10
2 x+y=-10
2
x
+
y
=
−
10
\newline
(B)
x
−
2
y
=
−
10
x-2 y=-10
x
−
2
y
=
−
10
\newline
(C)
x
+
2
y
=
−
10
x+2 y=-10
x
+
2
y
=
−
10
\newline
(D)
−
2
x
+
y
=
−
10
-2 x+y=-10
−
2
x
+
y
=
−
10
View step-by-step help
Home
Math Problems
Algebra 1
Identify equivalent linear expressions
Full solution
Q.
What is
y
−
4
=
−
2
(
x
+
7
)
y-4=-2(x+7)
y
−
4
=
−
2
(
x
+
7
)
written in standard form?
\newline
Choose
1
1
1
answer:
\newline
(A)
2
x
+
y
=
−
10
2 x+y=-10
2
x
+
y
=
−
10
\newline
(B)
x
−
2
y
=
−
10
x-2 y=-10
x
−
2
y
=
−
10
\newline
(C)
x
+
2
y
=
−
10
x+2 y=-10
x
+
2
y
=
−
10
\newline
(D)
−
2
x
+
y
=
−
10
-2 x+y=-10
−
2
x
+
y
=
−
10
Distribute the
−
2
-2
−
2
:
Distribute the
−
2
-2
−
2
across the parentheses in the equation
y
−
4
=
−
2
(
x
+
7
)
y-4=-2(x+7)
y
−
4
=
−
2
(
x
+
7
)
.
\newline
y
−
4
=
−
2
x
−
14
y - 4 = -2x - 14
y
−
4
=
−
2
x
−
14
Add
4
4
4
to both sides:
Add
4
4
4
to both sides of the equation to isolate y on one side.
\newline
y =
−
2
-2
−
2
x -
14
14
14
+
4
4
4
\newline
y =
−
2
-2
−
2
x -
10
10
10
Rearrange the equation:
Rearrange the equation to get it into standard form,
A
x
+
B
y
=
C
Ax + By = C
A
x
+
B
y
=
C
.
\newline
Add
2
x
2x
2
x
to both sides of the equation.
\newline
2
x
+
y
=
−
10
2x + y = -10
2
x
+
y
=
−
10
Check the answer choices:
Check the answer choices to see which one matches the standard form equation we derived.
\newline
The correct answer is (A)
2
x
+
y
=
−
10
2x + y = -10
2
x
+
y
=
−
10
.
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