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Which ordered pair is a solution of the equation?

-4x+7=2y-3
Choose 1 answer:
(A) Only
(2,1)
(B) Only
(5,-5)
(C) Both
(2,1) and
(5,-5)
(D) Neither

Which ordered pair is a solution of the equation? $\newline$ $-4x+7=2y-3$ $\newline$ Choose $1$ answer: $\newline$ (A) Only $(2,1)$ $\newline$ (B) Only $(5,-5)$ $\newline$ (C) Both $(2,1)$ and $(5,-5)$ $\newline$ (D) Neither

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Does (x, y) satisfy the linear equation?

Full solution

Q. Which ordered pair is a solution of the equation?

\newline

-4x+7=2y-3

\newline

Choose

1

answer:

\newline

(A) Only

(2,1)

\newline

(B) Only

(5,-5)

\newline

(C) Both

(2,1)

and

(5,-5)

\newline

(D) Neither

Rearrange equation for y: Rearrange the equation to solve for y. $\newline$ To find the value of $y$ in terms of $x$ , we can rearrange the equation as follows: $\newline$ $2y = 4x + 7 + 3$ $\newline$ $2y = 4x + 10$ $\newline$ Now, divide both sides by $2$ to solve for $y$ : $\newline$ $y = 2x + 5$
Test $2,1$ : Test the ordered pair $2,1$ . Substitute $x = 2$ and $y = 1$ into the equation $y = 2x + 5$ to see if it holds true: $\$1 = 2(2) + 5$ $1$ = $4$ + $5$ \) $1 = 9 This is not true, so $2,1$ is not a solution to the equation.
Test $5,-5$ : Test the ordered pair $5,-5$ . $\newline$ Substitute $x = 5$ and $y = -5$ into the equation $y = 2x + 5$ to see if it holds true: $\newline$ $-5 = 2(5) + 5$ $\newline$ $-5 = 10 + 5$ $\newline$ $-5 = 15$ $\newline$ This is not true, so $5,-5$ is not a solution to the equation.

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