3x + 4y = 11
2x - 4y = -6
First we isolate x, in the first equation, this way:
3x = 11 - 4y
x = (11 - 4y)/3
Now, we subsitute x in the second equation, this way:
2 (11 - 4y/3) - 4y = -6
22 - 8y/3 - 4y = - 6
22 - 8y - 12y = - 18
Like terms:
-20y = -18 - 22
-20y = -40
y = -40/-20
y = 2
Now, we replace y in the first equation for solving for x, this way:
3x + 4 * 2 = 11
3x + 8 = 11
3x = 11 - 8
3x = 3
x = 3/3
x = 1
The correct answer is x = 1 a