Question

Solve the following system. Verify the solution.

y = 4x – 11
x = 2y – 13

Answer 1

y = 4x - 11
x = 2y - 13

x = 2(4x - 11)- 13
x = 2(4x) - 2(11) - 13
x = 8x - 22 - 13
x = 8x - 35
- 8x - 8x
-7x = -35
-7 -7
x = 5
y = 4x - 11
y = 4(5) - 11
y = 20 - 11
y = 9
(x, y) = (5, 9)