Which ordered pair is a solution of the equation? 2x+3y=10 Choose 1 answer: (A) Only (2,2) (B) Only (1,3) (c) Both (2,2) and (1,3) (D) Neither

Test ordered pair (2,2): Test the ordered pair (2,2) to see if it satisfies the equation 2x+3y=10. Substitute x with 2 and y with 2 into the equation: 2(2) + 3(2) = 4 + 6 = 10. Check if the left side equals the right side: 10 = 10.Check if (2,2) is a solution: Since the left side equals the right side for the ordered pair (2,2), this ordered pair is a solution to the equation.Test ordered pair (1,3): Test the ordered pair (1,3) to see if it satisfies the equation 2x+3y=10. Substitute x with 1 and y with 3 into the equation: 2(1) + 3(3) = 2 + 9 = 11. Check if the left side equals the right side: 11 ≠ 10.Check if (1,3) is a solution: Since the left side does not equal the right side for the ordered pair (1,3), this ordered pair 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?

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2x+3y=10

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Choose

1

answer:

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(A) Only

(2,2)

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(B) Only

(1,3)

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(2,2)

and

(1,3)

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(D) Neither

Test ordered pair $(2,2)$ : Test the ordered pair $(2,2)$ to see if it satisfies the equation $2x+3y=10$ . $\newline$ Substitute $x$ with $2$ and $y$ with $2$ into the equation: $2(2) + 3(2) = 4 + 6 = 10$ . $\newline$ Check if the left side equals the right side: $10 = 10$ .
Check if $(2,2)$ is a solution: Since the left side equals the right side for the ordered pair $(2,2)$ , this ordered pair is a solution to the equation.
Test ordered pair $1,3$ : Test the ordered pair $1,3$ to see if it satisfies the equation $2x+3y=10$ . Substitute $x$ with $1$ and $y$ with $3$ into the equation: $2(1) + 3(3) = 2 + 9 = 11$ . Check if the left side equals the right side: $11 \neq 10$ .
Check if $(1,3)$ is a solution: Since the left side does not equal the right side for the ordered pair $(1,3)$ , this ordered pair is not a solution to the equation.