Answer:
x = 10 , y = 5
Explanation:
It is given that x = 2y. Plug in 2y for x in the first equation, and then solve for the variable, y:
-4x + 11y = 15
x = 2y
-4(2y) + 11y = 15
First, multiply, then combine like terms:
(-4 * 2y) + 11y = 15
(-8y) + 11y = 15
11y - 8y = 15
3y = 15
Isolate the variable, y. Divide 3 from both sides of the equations:
(3y)/3 = (15)/3
y = 15/3 = 5
Plug in 5 for y in one of the equations to solve for x:
x = 2y
x = 2(5)
x = 10
x = 10 , y = 5
~