Question

Use substitution to solve the system.
5x +3y = 11
-2x+y = -11

Answer 1

x= 4 and y= -3

Explanation:

5x+3y= 11 (1)

-2x+y= -11 (2)

From (1):

3y= -5x+11

y= -5/3x+11/3 (3)

sub (3) into (2):

-2x+(-5/3x+11/3)= -11

-2x-5/3x+11/3= -11

-11/3x= -44/3

x= 4 (4)

sub (4) into (1):

5(4)+3y= 11

3y= -9

y= -3