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

Problem Understanding: Understand the problem. We need to determine which ordered pair(s) satisfy the equation 7x - 2y = -5.Substitution of (1, 5): Substitute the ordered pair (1, 5) into the equation. If we substitute x = 1 and y = 5 into the equation, we get: 7(1) - 2(5) = 7 - 10 = -3 Since -3 does not equal -5, the ordered pair (1, 5) is not a solution.Substitution of (-1, 1): Substitute the ordered pair (-1, 1) into the equation. If we substitute x = -1 and y = 1 into the equation, we get: 7(-1) - 2(1) = -7 - 2 = -9 Since -9 does not equal -5, the ordered pair (-1, 1) is not a solution.Determining the Correct Answer: Determine the correct answer based on the substitutions. Since neither (1, 5) nor (-1, 1) satisfy the equation 7x - 2y = -5, the correct answer is (D) Neither.

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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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7 x-2 y=-5

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Choose

1

answer:

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(A) Only

(1,5)

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(B) Only

(-1,1)

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(1,5)

and

(-1,1)

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(D) Neither

Problem Understanding: Understand the problem. $\newline$ We need to determine which ordered pair(s) satisfy the equation $7x - 2y = -5$ .
Substitution of $1, 5$ : Substitute the ordered pair $1, 5$ into the equation. $\newline$ If we substitute $x = 1$ and $y = 5$ into the equation, we get: $\newline$ $7(1) - 2(5) = 7 - 10 = -3$ $\newline$ Since $-3$ does not equal $-5$ , the ordered pair $1, 5$ is not a solution.
Substitution of $(-1, 1)$ : Substitute the ordered pair $(-1, 1)$ into the equation. $\newline$ If we substitute $x = -1$ and $y = 1$ into the equation, we get: $\newline$ $7(-1) - 2(1) = -7 - 2 = -9$ $\newline$ Since $-9$ does not equal $-5$ , the ordered pair $(-1, 1)$ is not a solution.
Determining the Correct Answer: Determine the correct answer based on the substitutions. $\newline$ Since neither $(1, 5)$ nor $(-1, 1)$ satisfy the equation $7x - 2y = -5$ , the correct answer is (D) Neither.