{:[y=-4x-5],[y=3x-2]:} Is (3,7) a solution of the system? Choose 1 answer: (A) Yes (B) No

Substituting point into first equation: First, we will substitute the point (3,7) into the first equation and check if it holds true. The first equation is y = -4x - 5. If we substitute x=3 and y=7, we get 7 = -4*3 - 5. Checking if first equation holds true: After performing the calculation, we find that 7 = -12 - 5, which simplifies to 7 = -17. This is not true. Therefore, the point (3,7) does not satisfy the first equation. Conclusion: Point does not satisfy first equation: Since the point (3,7) does not satisfy the first equation, there is no need to check the second equation. The point (3,7) cannot be a solution to the system of equations if it does not satisfy both equations.

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{:[y=-4x-5],[y=3x-2]:}
Is
(3,7) a solution of the system?
Choose 1 answer:
(A) Yes
(B)
No

$y=-4 x-5$ $\newline$ $y=3 x-2$ $\newline$ Is $(3,7)$ 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-5

\newline

y=3 x-2

\newline

(3,7)

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 $(3,7)$ into the first equation and check if it holds true. The first equation is $y = -4x - 5$ . If we substitute $x=3$ and $y=7$ , we get $7 = -4 \cdot 3 - 5$ .
Checking if first equation holds true: After performing the calculation, we find that $7 = -12 - 5$ , which simplifies to $7 = -17$ . This is not true. Therefore, the point $(3,7)$ does not satisfy the first equation.
Conclusion: Point does not satisfy first equation: Since the point $(3,7)$ does not satisfy the first equation, there is no need to check the second equation. The point $(3,7)$ cannot be a solution to the system of equations if it does not satisfy both equations.