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

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

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Algebra 1

Does (x, y) satisfy the linear equation?

Full solution

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

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-4x+7=2y-3

\newline

Choose

1

answer:

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(A) Only

(2,1)

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(B) Only

(5,-5)

\newline

(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.