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

Substitute and Verify (3,2): First, let's substitute the ordered pair (3,2) into the equation 4x-1=3y+5 and check if it holds true. If we substitute x=3 and y=2, we get 4*3-1=3*2+5. Verify (3,2): After performing the calculation, we find that 12-1=6+5, which simplifies to 11=11. This is true, so the ordered pair (3,2) satisfies the equation. Substitute and Verify (2,3): Next, let's substitute the ordered pair (2,3) into the equation 4x-1=3y+5 and check if it holds true. If we substitute x=2 and y=3, we get 4*2-1=3*3+5. Verify (2,3): After performing the calculation, we find that 8-1=9+5, which simplifies to 7=14. This is not true, so the ordered pair (2,3) does not satisfy the equation. Solution Determination: Since the ordered pair (3,2) satisfies the equation but the ordered pair (2,3) does not, the correct answer is that only (3,2) is a solution to the equation.

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Which ordered pair is a solution of the equation?

4x-1=3y+5
Choose 1 answer:
(A) Only
(3,2)
(B) Only
(2,3)
(C) Both
(3,2) and
(2,3)
(D) Neither

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

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Algebra 2

Is (x, y) a solution to the system of equations?

Full solution

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

\newline

4x-1=3y+5

\newline

Choose

1

answer:

\newline

(A) Only

(3,2)

\newline

(B) Only

(2,3)

\newline

(3,2)

and

(2,3)

\newline

(D) Neither

Substitute and Verify $(3,2)$ : First, let's substitute the ordered pair $(3,2)$ into the equation $4x-1=3y+5$ and check if it holds true. If we substitute $x=3$ and $y=2$ , we get $4\cdot 3-1=3\cdot 2+5$ .
Verify $(3,2)$ : After performing the calculation, we find that $12-1=6+5$ , which simplifies to $11=11$ . This is true, so the ordered pair $(3,2)$ satisfies the equation.
Substitute and Verify $2,3$ : Next, let's substitute the ordered pair $2,3$ into the equation $4x-1=3y+5$ and check if it holds true. If we substitute $x=2$ and $y=3$ , we get $4\cdot 2-1=3\cdot 3+5$ .
Verify $(2,3)$ : After performing the calculation, we find that $8-1=9+5$ , which simplifies to $7=14$ . This is not true, so the ordered pair $(2,3)$ does not satisfy the equation.
Solution Determination: Since the ordered pair $(3,2)$ satisfies the equation but the ordered pair $(2,3)$ does not, the correct answer is that only $(3,2)$ is a solution to the equation.