Which ordered pair is a solution of the equation? y-4=7(x-6) Choose 1 answer: (A) Only (5,4) (B) Only (6,5) (C) Both (5,4) and (6,5) (D) Neither

Check (5,4): Step 1: Let's determine if the ordered pair (5,4) satisfies the equation y-4=7(x-6). Substituting x=5 and y=4 into the equation yields 4-4=7(5-6). Simplifying, we get 0=7(-1), which simplifies to 0=-7. This is not true, so (5,4) is not a solution. Check (6,5): Step 2: Now, let's check the second option (6,5). For this option, x=6 and y=5. Substitute x=6 and y=5 into the equation y-4=7(x-6). This gives us 5-4=7(6-6). Simplifying this, we get 1=7*0, which simplifies to 1=0. This is also not true, so the ordered pair (6,5) is not a solution of the equation. Final Conclusion: Step 3: Since neither of the ordered pairs (5,4) and (6,5) is a solution of the equation y-4=7(x-6), 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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y-4=7(x-6)

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Choose

1

answer:

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(A) Only

(5,4)

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(B) Only

(6,5)

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(5,4)

and

(6,5)

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(D) Neither

Check $(5,4):$ Step $1$ : Let's determine if the ordered pair $(5,4)$ satisfies the equation $y-4=7(x-6)$ . Substituting $x=5$ and $y=4$ into the equation yields $4-4=7(5-6)$ . Simplifying, we get $0=7(-1)$ , which simplifies to $0=-7$ . This is not true, so $(5,4)$ is not a solution.
Check $(6,5)$ : Step $2$ : Now, let's check the second option $(6,5)$ . For this option, $x=6$ and $y=5$ . Substitute $x=6$ and $y=5$ into the equation $y-4=7(x-6)$ . This gives us $5-4=7(6-6)$ . Simplifying this, we get $1=7\times 0$ , which simplifies to $1=0$ . This is also not true, so the ordered pair $(6,5)$ is not a solution of the equation.
Final Conclusion: Step $3$ : Since neither of the ordered pairs $(5,4)$ and $(6,5)$ is a solution of the equation $y-4=7(x-6)$ , the correct answer is Neither.