Question

Solve by substitution.
2x +y = 9
(3x – 4y = 8
-
=

Answer 1

Explanation:

Working with the top equation, subtract 2x from both sides.

y = 9 - 2x

Put this value for y in the second equation

3x - 4(9 - 2x) = 8 Remove the brackets

3x -36 + 8x = 8 Add 36 to both sides

3x + 8x = 8 + 36 Combine

11x = 44 Divide by 11

x = 4

2x + y = 9

2*4 + y = 9

8 + y = 9 Subtract 8 from both sides

y = 9-8

y = 1

• Answer
• x = 4
• y = 1