Which ordered pair is a solution of the equation? -3x+4y=14 Choose 1 answer: (A) Only(2,5) (B) Only (4,6) (c) Both (2,5) and (4,6) (D) Neither

Test (2,5) in equation: Test the ordered pair (2,5) in the equation -3x+4y=14. Substitute x with 2 and y with 5 in the equation: -3(2) + 4(5) = -6 + 20 = 14 Check if the left side equals the right side.Conclusion for (2,5): Since the left side equals the right side after substituting (2,5), we can conclude that (2,5) is a solution to the equation.Test (4,6) in equation: Test the ordered pair (4,6) in the equation -3x+4y=14. Substitute x with 4 and y with 6 in the equation: -3(4) + 4(6) = -12 + 24 = 12 Check if the left side equals the right side.Conclusion for (4,6): Since the left side does not equal the right side after substituting (4,6), we can conclude that (4,6) is not a solution to the equation.

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Math Problems

Algebra 1

Does (x, y) satisfy the linear equation?

Full solution

Q. Which ordered pair is a solution of the equation?

\newline

-3 x+4 y=14

\newline

Choose

1

answer:

\newline

(A) Only

(2,5)

\newline

(B) Only

(4,6)

\newline

(2,5)

and

(4,6)

\newline

(D) Neither

Test $(2,5)$ in equation: Test the ordered pair $(2,5)$ in the equation $-3x+4y=14$ . $\newline$ Substitute $x$ with $2$ and $y$ with $5$ in the equation: $\newline$ $-3(2) + 4(5) = -6 + 20 = 14$ . $\newline$ Check if the left side equals the right side.
Conclusion for $2,5$ : Since the left side equals the right side after substituting $2,5$ , we can conclude that $2,5$ is a solution to the equation.
Test $4,6$ in equation: Test the ordered pair $4,6$ in the equation \$-3$x+$4$y=$14$\$.$\newline$Substitute \$x\$ with $4$ and \$y\$ with $6$ in the equation:$\newline$\$ $-3$ ( $4$ ) + $4$ ( $6$ ) = $-12$ + $24$ = $12$ \$$\newline$Check if the left side equals the right side.
Conclusion for $4,6$: Since the left side does not equal the right side after substituting $4,6$, we can conclude that $4,6$ is not a solution to the equation.