{:[y=-4x+6],[3x+4y=-2]:} Is (2,2) a solution of the system? Choose 1 answer: (A) Yes (B) No

Substituting point into first equation: First, we will substitute the point (2,2) into the first equation and check if it holds true. The first equation is y = -4x + 6. If we substitute x=2 and y=2, we get 2 = -4*2 + 6. Checking if equation holds true: After performing the calculation, we find that 2 = -8 + 6, which simplifies to 2 = -2. This is not true. Therefore, the point (2,2) does not satisfy the first equation. Conclusion: Point does not satisfy first equation: Since the point (2,2) does not satisfy the first equation, there is no need to check the second equation. The point (2,2) cannot be a solution to the system of equations if it does not satisfy both equations.

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{:[y=-4x+6],[3x+4y=-2]:}
Is
(2,2) a solution of the system?
Choose 1 answer:
(A) Yes
(B)
No

$y=-4 x+6$ $\newline$ $3 x+4 y=-2$ $\newline$ Is $(2,2)$ 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

y=-4 x+6

\newline

3 x+4 y=-2

\newline

(2,2)

a solution of the system?

\newline

Choose

1

answer:

\newline

(A) Yes

\newline

(B) No

Substituting point into first equation: First, we will substitute the point $(2,2)$ into the first equation and check if it holds true. The first equation is $y = -4x + 6$ . If we substitute $x=2$ and $y=2$ , we get $2 = -4 \cdot 2 + 6$ .
Checking if equation holds true: After performing the calculation, we find that $2 = -8 + 6$ , which simplifies to $2 = -2$ . This is not true. Therefore, the point $(2,2)$ does not satisfy the first equation.
Conclusion: Point does not satisfy first equation: Since the point $(2,2)$ does not satisfy the first equation, there is no need to check the second equation. The point $(2,2)$ cannot be a solution to the system of equations if it does not satisfy both equations.