Answer:
x = 4
y = 6
Step-by-step explanation:
[tex]\left \{ {{3x+4y=36} \atop {\frac{1}{2}x+4y=8 }} \right.[/tex] rewrite the equations and multiply bottom equations by -4
[tex]\left \{ {{3x+4y=36} \atop {-2x-4y=-32}} \right.[/tex] add both equations together
x = 4
then, input x=4 into equation 3x+4y=36:
3(4)+4y=36 (simplify)
12+4y=36 (subtract 12 from both sides)
4y=24 (divide both sides by 4)
y=6