Which ordered pair is a solution of the equation? y=-6x+1 Choose 1 answer: (A) Only (-2,13) (B) Only (-1,7) (C) Both (-2,13) and (-1,7) (D) Neither

Check Solution (-2,13): Step 1: Let's determine if the ordered pair (-2,13) satisfies the equation y=-6x+1. Substituting x=-2 into the equation yields y=-6*(-2)+1. Simplifying, we get y=12+1, which equals 13. Since this is the y-value in our ordered pair, (-2,13) is a solution. Check Solution (-1,7): Step 2: Now, let's check the second option (-1,7). For this option, x=-1. Substitute x=-1 into the equation y=-6x+1. This gives us y=-6*(-1)+1. Simplifying this, we get y=6+1, which equals 7. Since this is the y-value in our ordered pair, (-1,7) is also a solution of the equation. Final Answer: Step 3: Since both of the ordered pairs (-2,13) and (-1,7) satisfy the equation y=-6x+1, the correct answer is Both.

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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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y=-6 x+1

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Choose

1

answer:

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(A) Only

(-2,13)

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(B) Only

(-1,7)

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(-2,13)

and

(-1,7)

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D Neither

Check Solution $(-2,13)$ : Step $1$ : Let's determine if the ordered pair $(-2,13)$ satisfies the equation $y=-6x+1$ . Substituting $x=-2$ into the equation yields $y=-6*(-2)+1$ . Simplifying, we get $y=12+1$ , which equals $13$ . Since this is the y-value in our ordered pair, $(-2,13)$ is a solution.
Check Solution $(-1,7)$ : Step $2$ : Now, let's check the second option $(-1,7)$ . For this option, $x=-1$ . Substitute $x=-1$ into the equation $y=-6x+1$ . This gives us $y=-6*(-1)+1$ . Simplifying this, we get $y=6+1$ , which equals $7$ . Since this is the $y$ -value in our ordered pair, $(-1,7)$ is also a solution of the equation.
Final Answer: Step $3$ : Since both of the ordered pairs $(-2,13)$ and $(-1,7)$ satisfy the equation $y=-6x+1$ , the correct answer is Both.