2x+7y=1 y=4x-8 Is (4,8) a solution of the system? Choose 1 answer: (A) Yes (B) No

Substitute and check: First, we will substitute the point (4,8) into the first equation and check if it holds true. The first equation is 2x + 7y = 1. If we substitute x=4 and y=8, we get 2*4 + 7*8 = 1. Result of substitution: After performing the calculation, we find that 8 + 56 = 64, which is not equal to 1. Therefore, the point (4,8) does not satisfy the first equation. Conclusion: Since the point (4,8) does not satisfy the first equation, there is no need to check the second equation. We can conclude that (4,8) is not a solution to the system of equations.

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2x+7y=1

y=4x-8
Is
(4,8) a solution of the system?
Choose 1 answer:
(A) Yes
(B) No

$2 x+7 y=1$ $\newline$ $y=4 x-8$ $\newline$ Is $(4,8)$ 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+7 y=1

\newline

y=4 x-8

\newline

(4,8)

a solution of the system?

\newline

Choose

1

answer:

\newline

(A) Yes

\newline

(B) No

Substitute and check: First, we will substitute the point $(4,8)$ into the first equation and check if it holds true. The first equation is $2x + 7y = 1$ . If we substitute $x=4$ and $y=8$ , we get $2\cdot 4 + 7\cdot 8 = 1$ .
Result of substitution: After performing the calculation, we find that $8 + 56 = 64$ , which is not equal to $1$ . Therefore, the point $(4,8)$ does not satisfy the first equation.
Conclusion: Since the point $(4,8)$ does not satisfy the first equation, there is no need to check the second equation. We can conclude that $(4,8)$ is not a solution to the system of equations.