Question

Determine the best method to solve the system of equations. Then solve the system.

Answer 1

use substitution method

find equation for value of x/y

2x + 2y = 4

2y = 4 - 2x

y = 4 - 2x ----> equation 1

2

so..substitute the

equation 1 to -5x+3y=-18

-5x+3( 4 - 2x ) = -18

2

-5x + 3(2-x) = -18

6-3x = -18+5x

6+18= 5x+3x

24 = 8x

24 = x

8

x= 3. -----> eq.2

sub eq.2 into 1 to find the value of x

y = 4-2(3)

2

y = - 1

x=3 ; y= -1