Question

Solve the following system of equations by finding when they are equal to each othery = -6x + 7 y= 13 - 8x The equations are equal to each other when x = and y=

Answer 1

x = 3, y = -11

Step-by-step explanation

We want to find the solution to the system of equations by finding when they are equal to one another.

The equations are:

y = -6x + 7

y = 13 - 8x

Now, we equate both of them:

-6x + 7 = 13 - 8x

Collect like terms:

-6x + 8x = 13 - 7

2x = 6

Divide through by 2:

x = 6 / 2

x = 3

From the first equation:

y = -6x + 7

Put the known value of x into the equation:

y = -6(3) + 7

y = -18 + 7

y = -11

Therefore, the equations are equal to each other when x = 3 and y = -11.