Which ordered pair is a solution of the equation? y=4x-7 Choose 1 answer: (A) Only(2,1) (B) Only (4,9) (c) Both (2,1) and (4,9) (D) Neither

Test ordered pair (2,1): Test the ordered pair (2,1) in the equation y=4x-7. Substitute x with 2 and y with 1 in the equation and check if the equation holds true. 1 = 4(2) - 7 1 = 8 - 7 1 = 1Check equation for (2,1): Since the equation holds true for the ordered pair (2,1), this ordered pair is a solution to the equation.Solution for (2,1): Test the ordered pair (4,9) in the equation y=4x-7. Substitute x with 4 and y with 9 in the equation and check if the equation holds true. 9 = 4(4) - 7 9 = 16 - 7 9 = 9Test ordered pair (4,9): Since the equation holds true for the ordered pair (4,9), this ordered pair 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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y=4 x-7

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Choose

1

answer:

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(A) Only

(2,1)

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(B) Only

(4,9)

\newline

(2,1)

and

(4,9)

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(D) Neither

Test ordered pair $2,1$ : Test the ordered pair $2,1$ in the equation $y=4x-7$ . $\newline$ Substitute $x$ with $2$ and $y$ with $1$ in the equation and check if the equation holds true. $\newline$ $1 = 4(2) - 7$ $\newline$ $1 = 8 - 7$ $\newline$ $1 = 1$
Check equation for $2,1$ : Since the equation holds true for the ordered pair $2,1$ , this ordered pair is a solution to the equation.
Solution for $(2,1)$ : Test the ordered pair $(4,9)$ in the equation $y=4x-7$ . $\newline$ Substitute $x$ with $4$ and $y$ with $9$ in the equation and check if the equation holds true. $\newline$ $9 = 4(4) - 7$ $\newline$ $9 = 16 - 7$ $\newline$ $9 = 9$
Test ordered pair $4,9$ : Since the equation holds true for the ordered pair $4,9$ , this ordered pair is also a solution to the equation.