Question

Solve the following system and show all of your work.
3y − 2x = 11
y + 2x = 9

Answer 1

Y = 9 - 2x

Answer 2

plug in y into the 3y - 2x = 11 equasion
3( 9 - 2x) - 2x = 11

Answer 3

3*9 = 27
3*(-2x) = -6x
27 - 6x - 2x

Answer 4

27 - 8x = 11
-27 -27
-8x = - 16
x = (-16)/(-8)

Answer 5

x = 2
plug x in 3y -2x = 11 to solve for y
3y - 2(2) = 11

Answer 6

3y - 4 = 11
+4 +4
3y = 15
y = 15/ 3
y = 5

Answer 7

so x = 2 and y = 5 :)