Which ordered pair is a solution of the equation? x+7y=17 Choose 1 answer: (A) Only(10,1) (B) Only (-4,3) (c) Both (10,1) and (-4,3) (D) Neither

Step 1: Test ordered pair (10, 1): Test the ordered pair (10, 1) to see if it satisfies the equation x+7y=17. Substitute x with 10 and y with 1 into the equation: 10 + 7(1) = 10 + 7 = 17. Check if the left side equals the right side: 17 = 17.Step 2: Substitute values into the equation: Since the ordered pair (10, 1) satisfies the equation (as 17 equals 17), we can say that (10, 1) is a solution to the equation.Step 3: Check if left side equals right side: Test the ordered pair (-4, 3) to see if it satisfies the equation x+7y=17. Substitute x with -4 and y with 3 into the equation: -4 + 7(3) = -4 + 21 = 17. Check if the left side equals the right side: 17 = 17.Step 4: Conclusion for (10, 1): Since the ordered pair (-4, 3) also satisfies the equation (as 17 equals 17), we can say that (-4, 3) is also 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?

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x+7 y=17

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Choose

1

answer:

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(A) Only

(10,1)

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(B) Only

(-4,3)

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(10,1)

and

(-4,3)

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(D) Neither

Step $1$ : Test ordered pair $(10, 1)$ : Test the ordered pair $(10, 1)$ to see if it satisfies the equation $x+7y=17$ . $\newline$ Substitute $x$ with $10$ and $y$ with $1$ into the equation: $10 + 7(1) = 10 + 7 = 17$ . $\newline$ Check if the left side equals the right side: $17 = 17$ .
Step $2$ : Substitute values into the equation: Since the ordered pair $(10, 1)$ satisfies the equation (as $17$ equals $17$ ), we can say that $(10, 1)$ is a solution to the equation.
Step $3$ : Check if left side equals right side: Test the ordered pair $(-4, 3)$ to see if it satisfies the equation $x+7y=17$ . $\newline$ Substitute $x$ with $-4$ and $y$ with $3$ into the equation: $-4 + 7(3) = -4 + 21 = 17$ . $\newline$ Check if the left side equals the right side: $17 = 17$ .
Step $4$ : Conclusion for $(10, 1)$ : Since the ordered pair $(-4, 3)$ also satisfies the equation (as $17$ equals $17$ ), we can say that $(-4, 3)$ is also a solution to the equation.