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

Problem Understanding: Understand the problem. We need to determine which ordered pair(s) satisfy the equation y = -2x - 5.Testing Ordered Pair (1, 7): Test the first ordered pair (1, 7). Substitute x = 1 and y = 7 into the equation and check if the equation holds true. 7 = -2(1) - 5 7 = -2 - 5 7 = -7 This is not true, so (1, 7) is not a solution to the equation.Testing Ordered Pair (2, -7): Test the second ordered pair (2, -7). Substitute x = 2 and y = -7 into the equation and check if the equation holds true. -7 = -2(2) - 5 -7 = -4 - 5 -7 = -9 This is not true, so (2, -7) 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?

\newline

y=-2x-5

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Choose

1

answer:

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(A) Only

(1,7)

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(B) Only

(2,-7)

\newline

(1,7)

and

(2,-7)

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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 $1, 7$ : Test the first ordered pair $1, 7$ . $\newline$ Substitute $x = 1$ and $y = 7$ into the equation and check if the equation holds true. $\newline$ $7 = -2(1) - 5$ $\newline$ $7 = -2 - 5$ $\newline$ $7 = -7$ $\newline$ This is not true, so $1, 7$ is not a solution to the equation.
Testing Ordered Pair 2, -7)\: Test the second ordered pair \$2, -7)\.$\newlineSubstitute \$x = 2$ and $y = -7$ into the equation and check if the equation holds true.$\newline$\[ -7 = -2(2) - 5 \]$\newline$\[ -7 = -4 - 5 \]$\newline$\[ -7 = -9 \]$\newline$This is not true, so $\(2$, $-7$)\ is not a solution to the equation.