Answer:
Option (2).x = -8
Step-by-step explanation:
Given system of equations to create the opposite terms of y-variable is,
[tex]4(\frac{1}{4}x-\frac{3}{4}y=34)[/tex] → [tex]x-3y=136[/tex] ------(1)
[tex]24(\frac{3}{4}x+\frac{1}{8}y=-12)[/tex] → 18x + 3y = -288 ---------(2)
By adding both the equations (1) and (2)
(x - 3y) + (18x + 3y) = 136 - 288
(x + 18x) + (-3y + 3y) = -152
19x = -152
x = -[tex]\frac{152}{19}[/tex]
x = -8
Therefore, value of x = -8.
Option (2) will be the answer.
