Question

Find the solution to the system of equations by substitution.
2x - 2y = - 6
y= 2x

Answer 1

x = -2

y = 2

Explanation:

Take the value of x from the first equation: x = 2 − 2 y ( 1 ) , and substitute for x into the second: y = 2 ( 2 − 2 y ) + 6 solve for y ; y = 4 − 4 y + 6 y = 10 5 = 2 Substitute back into ( 1 ) and find x : x = 2 − 4 = − 2