Question

What are the solutions to the system of equations? {−x+y=4y+12=x2+x

Answer 1

Answer:Since -2 can not equal 0, there is no solution. The lines are parallel. It is an inconsistent system.

Step-by-step explanation:

The first step in solving a system of equations by substitution is solving one of the equations for one of the variables

x - y = 0 Equation 1

x - y + y = 0 +y Add y to each side

x = y Simplify

After solving an equation for one of the variables, substitute that value into the other equation. In this problem, I can substitute y for x.

x - y - 2 = 0 Equation 2

y - y - 2 = 0 Substitute the value of x from equation 1

0 - 2 = 0 Inverse Property of addition

-2 = 0 Identity Property of addition