What is y-4=-2(x+7) written in standard form? Choose 1 answer: (A) x-2y=-10 (B) 2x+y=-10 (C) -2x+y=-10 (D) x+2y=-10

Distribute -2 across parentheses: First, we need to distribute the -2 across the parentheses to eliminate them. y - 4 = -2(x + 7) y - 4 = -2x - 14Get variable terms on one side: Next, we want to get all the variable terms on one side and the constant terms on the other side to write the equation in standard form, which is Ax + By = C. To do this, we will add 2x to both sides of the equation. 2x + y - 4 = -14Isolate constant term: Now, we will add 4 to both sides of the equation to isolate the constant term on one side. 2x + y = -10Write equation in standard form: We have now written the equation in standard form, which is 2x + y = -10. This corresponds to choice (B).

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What is
y-4=-2(x+7) written in standard form?
Choose 1 answer:
(A)
x-2y=-10
(B)
2x+y=-10
(C)
-2x+y=-10
(D)
x+2y=-10

What is $y-4=-2(x+7)$ written in standard form? $\newline$ Choose $1$ answer: $\newline$ (A) $x-2 y=-10$ $\newline$ (B) $2 x+y=-10$ $\newline$ (C) $-2 x+y=-10$ $\newline$ (D) $x+2 y=-10$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

Q. What is

y-4=-2(x+7)

written in standard form?

\newline

Choose

1

answer:

\newline

(A)

x-2 y=-10

\newline

(B)

2 x+y=-10

\newline

(C)

-2 x+y=-10

\newline

(D)

x+2 y=-10

Distribute $-2$ across parentheses: First, we need to distribute the $-2$ across the parentheses to eliminate them. $y - 4 = -2(x + 7)$ $y - 4 = -2x - 14$
Get variable terms on one side: Next, we want to get all the variable terms on one side and the constant terms on the other side to write the equation in standard form, which is $Ax + By = C$ . $\newline$ To do this, we will add $2x$ to both sides of the equation. $\newline$ $2x + y - 4 = -14$
Isolate constant term: Now, we will add $4$ to both sides of the equation to isolate the constant term on one side. $\newline$ $2x + y = -10$
Write equation in standard form: We have now written the equation in standard form, which is $2x + y = -10$ . $\newline$ This corresponds to choice $(B)$ .