Is (2,9) a solution to this system of equations? y = 3x + 3 y = 4x + 1 Choices: (A)yes (B)no

First Equation Check: We have the first equation: y = 3x + 3 Does the point (2, 9) satisfy the first equation? y = 3x + 3 9 = 3(2) + 3 9 = 6 + 3 9 = 9 Yes, the point (2, 9) satisfies the first equation. Second Equation Check: We have the second equation: y = 4x + 1 Does the point (2, 9) satisfy the second equation? y = 4x + 1 9 = 4(2) + 1 9 = 8 + 1 9 = 9 Yes, the point (2, 9) satisfies the second equation. Final Verification: We found: (2, 9) satisfies the equation y = 3x + 3. (2, 9) satisfies the equation y = 4x + 1. Is (2,9) a solution to the system of equations? y = 3x + 3 y = 4x + 1 Both equations cannot be true simultaneously for the same point because they represent two different lines. There is a mistake in our previous steps. We need to check our calculations again.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Is $(2,9)$ a solution to this system of equations? $\newline$ $y = 3x + 3$ $\newline$ $y = 4x + 1$ $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

View step-by-step help

Home

Math Problems

Algebra 1

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

Full solution

Q. Is

(2,9)

a solution to this system of equations?

\newline

y = 3x + 3

\newline

y = 4x + 1

\newline

Choices:

\newline

(A) yes

\newline

(B) no

First Equation Check: We have the first equation: $\newline$ $y = 3x + 3$ $\newline$ Does the point $(2, 9)$ satisfy the first equation? $\newline$ $y = 3x + 3$ $\newline$ $9 = 3(2) + 3$ $\newline$ $9 = 6 + 3$ $\newline$ $9 = 9$ $\newline$ Yes, the point $(2, 9)$ satisfies the first equation.
Second Equation Check: We have the second equation: $\newline$ $y = 4x + 1$ $\newline$ Does the point $(2, 9)$ satisfy the second equation? $\newline$ $y = 4x + 1$ $\newline$ $9 = 4(2) + 1$ $\newline$ $9 = 8 + 1$ $\newline$ $9 = 9$ $\newline$ Yes, the point $(2, 9)$ satisfies the second equation.
Final Verification: We found: $\newline$ $(2, 9)$ satisfies the equation $y = 3x + 3$ . $\newline$ $(2, 9)$ satisfies the equation $y = 4x + 1$ . $\newline$ Is $(2,9)$ a solution to the system of equations? $\newline$ $y = 3x + 3$ $\newline$ $y = 4x + 1$ $\newline$ Both equations cannot be true simultaneously for the same point because they represent two different lines. There is a mistake in our previous steps. We need to check our calculations again.