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

Check Option (A): Substitute the x and y values from option (A) into the equation to check if it satisfies the equation. Let's use the ordered pair (2,1) where x=2 and y=1. -4(2) + 7 = 2(1) - 3 -8 + 7 = 2 - 3 -1 = -1 This shows that the ordered pair (2,1) satisfies the equation.Check Option (B): Substitute the x and y values from option (B) into the equation to check if it satisfies the equation. Let's use the ordered pair (5,-5) where x=5 and y=-5. -4(5) + 7 = 2(-5) - 3 -20 + 7 = -10 - 3 -13 = -13 This shows that the ordered pair (5,-5) also satisfies 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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-4 x+7=2 y-3

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Choose

1

answer:

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(A) Only

(2,1)

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(B) Only

(5,-5)

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(2,1)

and

(5,-5)

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(D) Neither

Check Option (A): Substitute the $x$ and $y$ values from option (A) into the equation to check if it satisfies the equation. $\newline$ Let's use the ordered pair $(2,1)$ where $x=2$ and $y=1$ . $\newline$ $-4(2) + 7 = 2(1) - 3$ $\newline$ $-8 + 7 = 2 - 3$ $\newline$ $-1 = -1$ $\newline$ This shows that the ordered pair $(2,1)$ satisfies the equation.
Check Option (B): Substitute the $x$ and $y$ values from option (B) into the equation to check if it satisfies the equation. $\newline$ Let's use the ordered pair $(5,-5)$ where $x=5$ and $y=-5$ . $\newline$ $-4(5) + 7 = 2(-5) - 3$ $\newline$ $-20 + 7 = -10 - 3$ $\newline$ $-13 = -13$ $\newline$ This shows that the ordered pair $(5,-5)$ also satisfies the equation.