Question

What is the solution to the system of equations:

x=2y-8
4x+y=13

Answer 1

x - 2y = -8
4x + y = 13

x - 2y = -8
8x + 2y = 26

Add:
9x = 18
x = 2

Finding y:
2 - 2y = -8
-2y = -10
y = 5

Answer: (2, 5)

Answer 2

x=2, y=5

Explanation:

Replace all occurrences of x with 2y−8 in each equation.

9y−32=13

x=2y−8

Solve for y in the first equation.

y=5

x=2y−8

Replace all occurrences of y with 5 in each equation.

=> x=2, y=5