Answer
x = 5
y = 0
Work Step by Step
simplify to first equation
5x + 2y -4x - 2y = 2 ( 2y + 6 ) -7
x = 4y + 12 -7 use the distributive property
x = 4y + 5
use the distributive equation to second equation
3 ( 2x - y ) - 4x = 1 + 9
6x - 3y - 4x = 10
6x - 4x - 3y = 10
2x - 3y = 10 substitude now x = 4y + 5
2 ( 4y + 5 ) - 3y = 10 use the distributive property
8y + 10 - 3y = 10 simplify
5y + 10 = 10
5y = 10 - 10 solve
5y = 0
y = 0 substitude y = 0 to
x = 4y + 5
x = $4\times0$ + 5
x = 0 + 5
x = 5