Is (3,9) a solution to this system of equations? y = 5x + 9 y = x + 6 Choices: (A)yes (B)no

Substitute and Check: First, we will substitute the point (3,9) into the first equation and check if it holds true. The first equation is y = 5x + 9. If we substitute x=3 and y=9, we get 9 = 5*3 + 9. Verify First Equation: After performing the calculation, we find that 9 = 15 + 9, which is not true because 9 does not equal 24. Therefore, the point (3,9) does not satisfy the first equation. Conclusion: Since the point (3,9) does not satisfy the first equation, there is no need to check the second equation. We can conclude that (3,9) is not a solution to the system of equations.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Is $(3,9)$ a solution to this system of equations? $\newline$ $y = 5x + 9$ $\newline$ $y = x + 6$ $\newline$ 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

(3,9)

a solution to this system of equations?

\newline

y = 5x + 9

\newline

y = x + 6

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute and Check: First, we will substitute the point $(3,9)$ into the first equation and check if it holds true. The first equation is $y = 5x + 9$ . If we substitute $x=3$ and $y=9$ , we get $9 = 5\times3 + 9$ .
Verify First Equation: After performing the calculation, we find that $9 = 15 + 9$ , which is not true because $9$ does not equal $24$ . Therefore, the point $(3,9)$ does not satisfy the first equation.
Conclusion: Since the point $(3,9)$ does not satisfy the first equation, there is no need to check the second equation. We can conclude that $(3,9)$ is not a solution to the system of equations.