{:[y=-5x+1],[y=3x-2]:} Is (3,8) a solution of the system? Choose 1 answer: (A) Yes (B) No

Substituting point into first equation: First, we will substitute the point (3,8) into the first equation and check if it holds true. The first equation is y = -5x + 1. If we substitute x=3 and y=8, we get 8 = -5*3 + 1. Checking if the equation holds true: After performing the calculation, we find that 8 = -15 + 1, which simplifies to 8 = -14. This is not true. Therefore, the point (3,8) does not satisfy the first equation. Conclusion: Point does not satisfy first equation: Since the point (3,8) does not satisfy the first equation, there is no need to check the second equation. The point (3,8) cannot be a solution to the system if it does not satisfy both equations.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

{:[y=-5x+1],[y=3x-2]:}
Is
(3,8) a solution of the system?
Choose 1 answer:
(A) Yes
(B)
No

$\begin{array}{l} y=-5 x+1 \\ y=3 x-2 \end{array}$ $\newline$ Is $(3,8)$ a solution of the system? $\newline$ Choose $1$ answer: $\newline$ (A) Yes $\newline$ (B) No

View step-by-step help

Home

Math Problems

Algebra 2

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

Full solution

\begin{array}{l} y=-5 x+1 \\ y=3 x-2 \end{array}

\newline

(3,8)

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 $(3,8)$ into the first equation and check if it holds true. The first equation is $y = -5x + 1$ . If we substitute $x=3$ and $y=8$ , we get $8 = -5 \cdot 3 + 1$ .
Checking if the equation holds true: After performing the calculation, we find that $8 = -15 + 1$ , which simplifies to $8 = -14$ . This is not true. Therefore, the point $(3,8)$ does not satisfy the first equation.
Conclusion: Point does not satisfy first equation: Since the point $(3,8)$ does not satisfy the first equation, there is no need to check the second equation. The point $(3,8)$ cannot be a solution to the system if it does not satisfy both equations.