Question

How many solutions does y=2x+2,4x-2y=4 have?

Answer 1

Write as a system y= 2 x + 2.4x - 2y = 4

{y = 4
{2x + 2.4x - 2y = 4

Substitute the value of y into the equation

2x + 2.4x - 2 x 4 = 4

Solve the equation

x= 30/ 11

A possible solution is

(x, y) = (30/11, 4)

Check the solution

4 = 2 x 30/11+ 2.4 x 30/11 - 2 x 4 = 4

Simplify the expression

4 = 4 = 4

The ordered pair is a solution

(x, y) = ( 30/11, 4)