Is (4,9) a solution to this system of equations? y = 8x + 5 y = x + 5 Choices: (A)yes (B)no

Substitute and Check: First, we will substitute the point (4,9) into the first equation and check if it holds true. The first equation is y = 8x + 5. If we substitute x=4 and y=9, we get 9 = 8*4 + 5. Calculation Result: After performing the calculation, we find that 9 = 32 + 5, which simplifies to 9 = 37. This is not true. Therefore, the point (4,9) does not satisfy the first equation. Conclusion: Since the point (4,9) does not satisfy the first equation, there is no need to check the second equation. The point (4,9) cannot be a solution to the system of equations if it does not satisfy both equations.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Is $(4,9)$ a solution to this system of equations? $\newline$ $y = 8x + 5$ $\newline$ $y = x + 5$ $\newline$ Choices: $\newline$ (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

Q. Is

(4,9)

a solution to this system of equations?

\newline

y = 8x + 5

\newline

y = x + 5

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute and Check: First, we will substitute the point $(4,9)$ into the first equation and check if it holds true. The first equation is $y = 8x + 5$ . If we substitute $x=4$ and $y=9$ , we get $9 = 8\times4 + 5$ .
Calculation Result: After performing the calculation, we find that $9 = 3^2 + 5$ , which simplifies to $9 = 37$ . This is not true. Therefore, the point $(4,9)$ does not satisfy the first equation.
Conclusion: Since the point $(4,9)$ does not satisfy the first equation, there is no need to check the second equation. The point $(4,9)$ cannot be a solution to the system of equations if it does not satisfy both equations.