Question

Y = 2x + 6
6x – 7y = −18

Answer 1

To solve the system of equations:

Y = 2x + 6 ...(1)

6x – 7y = −18 ...(2)

We can substitute equation (1) into equation (2) for y:

6x - 7(2x + 6) = -18

Simplifying, we get:

6x - 14x - 42 = -18

-8x = 24

x = -3

Now, we can substitute x = -3 into equation (1) to find y:

y = 2(-3) + 6

y = 0

Therefore, the solution to the system of equations is:

x = -3, y = 0.