What is y-2=-3(x-7) written in standard form? Choose 1 answer: (A) y=-3x+23 (B) 3x+y=23 (C) y-2=-3x+21 (D) 3x+y-23=0

Distribute the -3: Distribute the -3 across the parentheses in the equation y-2=-3(x-7). y - 2 = -3 * x + 3 * 7 y - 2 = -3x + 21Add 2 to both sides: Add 2 to both sides of the equation to isolate y on one side. y - 2 + 2 = -3x + 21 + 2 y = -3x + 23Move x-term to left side: To write the equation in standard form, Ax + By = C, we need to move the x-term to the left side of the equation. Add 3x to both sides of the equation. 3x + y = 3x - 3x + 23 3x + y = 23Check standard form: Check if the equation is in standard form, which requires A, B, and C to be integers, and A should be non-negative. The equation 3x + y = 23 satisfies these conditions, so it is in standard form.

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What is
y-2=-3(x-7) written in standard form?
Choose 1 answer:
(A)
y=-3x+23
(B)
3x+y=23
(C)
y-2=-3x+21
(D)
3x+y-23=0

What is $y-2=-3(x-7)$ written in standard form? $\newline$ Choose $1$ answer: $\newline$ (A) $y=-3 x+23$ $\newline$ (B) $3 x+y=23$ $\newline$ (C) $y-2=-3 x+21$ $\newline$ (D) $3 x+y-23=0$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

Q. What is

y-2=-3(x-7)

written in standard form?

\newline

Choose

1

answer:

\newline

(A)

y=-3 x+23

\newline

(B)

3 x+y=23

\newline

(C)

y-2=-3 x+21

\newline

(D)

3 x+y-23=0

Distribute the $-3$ : Distribute the $-3$ across the parentheses in the equation $y-2=-3(x-7)$ . $\newline$ $y - 2 = -3 \times x + 3 \times 7$ $\newline$ $y - 2 = -3x + 21$
Add $2$ to both sides: Add $2$ to both sides of the equation to isolate y on one side. $\newline$ y - $2$ + $2$ = $-3$ x + $21$ + $2$ $\newline$ y = $-3$ x + $23$
Move x-term to left side: To write the equation in standard form, $Ax + By = C$ , we need to move the x-term to the left side of the equation. $\newline$ Add $3x$ to both sides of the equation. $\newline$ $3x + y = 3x - 3x + 23$ $\newline$ $3x + y = 23$
Check standard form: Check if the equation is in standard form, which requires $A$ , $B$ , and $C$ to be integers, and $A$ should be non-negative. $\newline$ The equation $3x + y = 23$ satisfies these conditions, so it is in standard form.