What is y-8=3(x+1) written in standard form? Choose 1 answer: (A) -3x+y-11=0 (B) y=3x+11 (c) y-8=3x+3 (D) -3x+y=11

Distribute the 3: Distribute the 3 to both terms inside the parentheses. y - 8 = 3(x + 1) y - 8 = 3x + 3Add 8 to both sides: Add 8 to both sides to move the constant term to the right side of the equation. y - 8 + 8 = 3x + 3 + 8 y = 3x + 11Move x-term to same side: To write the equation in standard form (Ax + By = C), we need to move the x-term to the same side as the y-term. Subtract 3x from both sides of the equation. -3x + y = 11Check coefficients and x-term: Check if the coefficients are integers and the x-term is positive. If not, multiply the entire equation by -1. In this case, the x-term is negative, so we multiply the entire equation by -1 to make the x-term positive. -1(-3x + y) = -1(11) 3x - y = -11Multiply equation by -1: To get the standard form Ax + By = C, where A, B, and C are integers, and A is non-negative, we need to multiply the equation by -1 again because the standard form requires A to be non-negative. -1(3x - y) = -1(-11) -3x + y = 11

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What is
y-8=3(x+1) written in standard form?
Choose 1 answer:
(A)
-3x+y-11=0
(B)
y=3x+11
(c)
y-8=3x+3
(D)
-3x+y=11

What is $y-8=3(x+1)$ written in standard form? $\newline$ Choose $1$ answer: $\newline$ (A) $-3 x+y-11=0$ $\newline$ (B) $y=3 x+11$ $\newline$ (C) $y-8=3 x+3$ $\newline$ (D) $-3 x+y=11$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

Q. What is

y-8=3(x+1)

written in standard form?

\newline

Choose

1

answer:

\newline

(A)

-3 x+y-11=0

\newline

(B)

y=3 x+11

\newline

(C)

y-8=3 x+3

\newline

(D)

-3 x+y=11

Distribute the $3$ : Distribute the $3$ to both terms inside the parentheses. $y - 8 = 3(x + 1)$ $y - 8 = 3x + 3$
Add $8$ to both sides: Add $8$ to both sides to move the constant term to the right side of the equation. $\newline$ $y - 8 + 8 = 3x + 3 + 8$ $\newline$ $y = 3x + 11$
Move x-term to same side: To write the equation in standard form $Ax + By = C$ , we need to move the x-term to the same side as the y-term. $\newline$ Subtract $3x$ from both sides of the equation. $\newline$ $-3x + y = 11$
Check coefficients and x-term: Check if the coefficients are integers and the x-term is positive. If not, multiply the entire equation by $-1$ . $\newline$ In this case, the x-term is negative, so we multiply the entire equation by $-1$ to make the x-term positive. $\newline$ $-1(-3x + y) = -1(11)$ $\newline$ $3x - y = -11$
Multiply equation by $-1$ : To get the standard form $Ax + By = C$ , where $A$ , $B$ , and $C$ are integers, and $A$ is non-negative, we need to multiply the equation by $-1$ again because the standard form requires $A$ to be non-negative. $\newline$ $-1(3x - y) = -1(-11)$ $\newline$ $-3x + y = 11$