Which ordered pair is a solution of the equation? 3x-y=13 Choose 1 answer: (A) Only(6,5) (B) Only (3,-4) (c) Both (6,5) and (3,-4) (D) Neither

Understanding the equation: Understand the equation and the task. We are given the equation 3x - y = 13 and we need to determine which ordered pair(s) satisfy this equation.Testing ordered pair (6, 5): Test the ordered pair (6, 5). Substitute x = 6 and y = 5 into the equation 3x - y = 13 to see if it holds true. 3(6) - 5 = 18 - 5 = 13 Since 13 = 13, the ordered pair (6, 5) is a solution to the equation.Testing ordered pair (3, -4): Test the ordered pair (3, -4). Substitute x = 3 and y = -4 into the equation 3x - y = 13 to see if it holds true. 3(3) - (-4) = 9 + 4 = 13 Since 13 = 13, the ordered pair (3, -4) 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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3 x-y=13

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Choose

1

answer:

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(A) Only

(6,5)

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(B) Only

(3,-4)

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(6,5)

and

(3,-4)

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(D) Neither

Understanding the equation: Understand the equation and the task. $\newline$ We are given the equation $3x - y = 13$ and we need to determine which ordered pair(s) satisfy this equation.
Testing ordered pair $(6, 5)$ : Test the ordered pair $(6, 5)$ . $\newline$ Substitute $x = 6$ and $y = 5$ into the equation $3x - y = 13$ to see if it holds true. $\newline$ $3(6) - 5 = 18 - 5 = 13$ $\newline$ Since $13 = 13$ , the ordered pair $(6, 5)$ is a solution to the equation.
Testing ordered pair $(3, -4)$ : Test the ordered pair $(3, -4)$ . $\newline$ Substitute $x = 3$ and $y = -4$ into the equation $3x - y = 13$ to see if it holds true. $\newline$ $3(3) - (-4) = 9 + 4 = 13$ $\newline$ Since $13 = 13$ , the ordered pair $(3, -4)$ is also a solution to the equation.