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

Check Solution (1,5): Step 1: Let's determine if the ordered pair (1,5) is a solution to the equation 7x-2y=-5. Substituting x=1 and y=5 into the equation yields 7*1-2*5=-5. Simplifying, we get 7-10=-3, which does not equal -5. Therefore, (1,5) is not a solution. Check Solution (-1,1): Step 2: Now, let's check the second option (-1,1). For this option, x=-1 and y=1. Substitute x=-1 and y=1 into the equation 7x-2y=-5. This gives us 7*(-1)-2*1=-5. Simplifying this, we get -7-2=-9, which is not equal to -5. So, the ordered pair (-1,1) is not a solution of the equation. Final Conclusion: Step 3: Since neither of the ordered pairs (1,5) and (-1,1) is a solution of the equation 7x-2y=-5, the correct answer is 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

Check Solution $1,5$ : Step $1$ : Let's determine if the ordered pair $1,5$ is a solution to the equation $7x-2y=-5$ . Substituting $x=1$ and $y=5$ into the equation yields $7\cdot 1-2\cdot 5=-5$ . Simplifying, we get $7-10=-3$ , which does not equal \$$-5$\). Therefore, $1,5$ is not a solution.
Check Solution $(-1,1)$: Step $2$: Now, let's check the second option $(-1,1)$. For this option, $x=-1$ and $y=1$. Substitute $x=-1$ and $y=1$ into the equation $7x-2y=-5$. This gives us $7*(-1)-2*1=-5$. Simplifying this, we get $-7-2=-9$, which is not equal to $-5$. So, the ordered pair $(-1,1)$ is not a solution of the equation.
Final Conclusion: Step $3$: Since neither of the ordered pairs $(1,5)$ and $(-1,1)$ is a solution of the equation $7x-2y=-5$, the correct answer is Neither.