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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? $\newline$ $-4 x+7=2 y-3$ $\newline$ 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

-4 x+7=2 y-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

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.

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