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

Check Solution (2,5): Substitute the x and y values from the ordered pair (2,5) into the equation -3x+4y=14 to check if it satisfies the equation. Calculation: -3(2) + 4(5) = -6 + 20 = 14Solution Verification (2,5): Since the calculation in Step 1 results in 14, which is the same as the right side of the equation, the ordered pair (2,5) is a solution to the equation.Check Solution (4,6): Substitute the x and y values from the ordered pair (4,6) into the equation -3x+4y=14 to check if it satisfies the equation. Calculation: -3(4) + 4(6) = -12 + 24 = 12Solution Verification (4,6): Since the calculation in Step 3 results in 12, which is not the same as the right side of the equation, the ordered pair (4,6) is not a solution to the equation.

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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

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

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Math Problems

Grade 6

Factor numerical expressions using the distributive property

Full solution

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

\newline

-3x+4y=14

\newline

Choose

1

answer:

\newline

(A) Only

(2,5)

\newline

(B) Only

(4,6)

\newline

(2,5)

and

(4,6)

\newline

(D) Neither

Check Solution $2,5$ : Substitute the $x$ and $y$ values from the ordered pair $2,5$ into the equation $-3x+4y=14$ to check if it satisfies the equation. $\newline$ Calculation: $-3(2) + 4(5) = -6 + 20 = 14$
Solution Verification $2,5$ : Since the calculation in Step $1$ results in $14$ , which is the same as the right side of the equation, the ordered pair $2,5$ is a solution to the equation.
Check Solution $(4,6)$ : Substitute the $x$ and $y$ values from the ordered pair $(4,6)$ into the equation $-3x+4y=14$ to check if it satisfies the equation. $\newline$ Calculation: $-3(4) + 4(6) = -12 + 24 = 12$
Solution Verification $4,6$ : Since the calculation in Step $3$ results in $12$ , which is not the same as the right side of the equation, the ordered pair $4,6$ is not a solution to the equation.