Which ordered pair is a solution of the equation? y=-2x+5 Choose 1 answer: (A) Only (2,-9) (B) Only (-2,9) (C) Both (2,-9) and (-2,9) (D) Neither

Problem Understanding: Understand the problem. We need to determine which ordered pair(s) satisfy the equation y = -2x + 5.Testing Ordered Pair (2, -9): Test the first ordered pair (2, -9). Substitute x = 2 and y = -9 into the equation and check if the equation holds true. y = -2x + 5 becomes -9 = -2(2) + 5. Calculate the right side: -2(2) + 5 = -4 + 5 = 1. Since -9 does not equal 1, the ordered pair (2, -9) is not a solution.Testing Ordered Pair (-2, 9): Test the second ordered pair (-2, 9). Substitute x = -2 and y = 9 into the equation and check if the equation holds true. y = -2x + 5 becomes 9 = -2(-2) + 5. Calculate the right side: -2(-2) + 5 = 4 + 5 = 9. Since 9 equals 9, the ordered pair (-2, 9) is a solution.

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Algebra 1

Does (x, y) satisfy the linear equation?

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

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y=-2x+5

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Choose

1

answer:

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(A) Only

(2,-9)

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(B) Only

(-2,9)

\newline

(2,-9)

and

(-2,9)

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(D) Neither

Problem Understanding: Understand the problem. $\newline$ We need to determine which ordered pair(s) satisfy the equation $y = -2x + 5$ .
Testing Ordered Pair $(2, -9)$ : Test the first ordered pair $(2, -9)$ . $\newline$ Substitute $x = 2$ and $y = -9$ into the equation and check if the equation holds true. $\newline$ $y = -2x + 5$ becomes $-9 = -2(2) + 5$ . $\newline$ Calculate the right side: $-2(2) + 5 = -4 + 5 = 1$ . $\newline$ Since $-9$ does not equal $1$ , the ordered pair $(2, -9)$ is not a solution.
Testing Ordered Pair $(-2, 9)$ : Test the second ordered pair $(-2, 9)$ . $\newline$ Substitute $x = -2$ and $y = 9$ into the equation and check if the equation holds true. $\newline$ $y = -2x + 5$ becomes $9 = -2(-2) + 5$ . $\newline$ Calculate the right side: $-2(-2) + 5 = 4 + 5 = 9$ . $\newline$ Since $9 = 9$ , the ordered pair $(-2, 9)$ is a solution.