what is the solution to the system of these linear equations

Question

y = −x + 6 and y = 3x − 2

Answer 1

To find the solution to this system of equations, we can set the two equations equal to each other:

−x + 6 = 3x − 2

Simplifying this equation, we get:

4x = 8

Dividing both sides by 4, we get:

x = 2

Now that we have the value of x, we can substitute it into one of the original equations to solve for y. Let's use the first equation:

y = −x + 6

y = −2 + 6

y = 4

Therefore, the solution to the system of equations is (2, 4).