2x-3y=-5 4x-4y=-4 Is (2,3) a solution of the system? Choose 1 answer: (A) Yes (B) No

Given System and Point: We are given a system of equations and a point (2,3). We need to determine if this point is a solution to the system. To do this, we will substitute x=2 and y=3 into both equations and see if the left-hand side equals the right-hand side in each case.Substitute into First Equation: Substitute x=2 and y=3 into the first equation 2x-3y=-5. Calculation: 2(2) - 3(3) = 4 - 9 = -5. The left-hand side equals the right-hand side, so the point satisfies the first equation.Substitute into Second Equation: Substitute x=2 and y=3 into the second equation 4x-4y=-4. Calculation: 4(2) - 4(3) = 8 - 12 = -4. The left-hand side equals the right-hand side, so the point satisfies the second equation.Verify Solution: Since the point (2,3) satisfies both equations in the system, it is indeed a solution to the system.

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2x-3y=-5

4x-4y=-4
Is
(2,3) a solution of the system?
Choose 1 answer:
(A) Yes
(B) No

$2 x-3 y=-5$ $\newline$ $4 x-4 y=-4$ $\newline$ Is $(2,3)$ a solution of the system? $\newline$ Choose $1$ answer: $\newline$ (A) Yes $\newline$ (B) No

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Algebra 2

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

Full solution

2 x-3 y=-5

\newline

4 x-4 y=-4

\newline

(2,3)

a solution of the system?

\newline

Choose

1

answer:

\newline

(A) Yes

\newline

(B) No

Given System and Point: We are given a system of equations and a point $(2,3)$ . We need to determine if this point is a solution to the system. $\newline$ To do this, we will substitute $x=2$ and $y=3$ into both equations and see if the left-hand side equals the right-hand side in each case.
Substitute into First Equation: Substitute $x=2$ and $y=3$ into the first equation $2x-3y=-5$ . $\newline$ Calculation: $2(2) - 3(3) = 4 - 9 = -5$ . $\newline$ The left-hand side equals the right-hand side, so the point satisfies the first equation.
Substitute into Second Equation: Substitute $x=2$ and $y=3$ into the second equation $4x-4y=-4$ . $\newline$ Calculation: $4(2) - 4(3) = 8 - 12 = -4$ . $\newline$ The left-hand side equals the right-hand side, so the point satisfies the second equation.
Verify Solution: Since the point $(2,3)$ satisfies both equations in the system, it is indeed a solution to the system.