Answer:
4. (8, -12)
Step: Solve 14x+−12y=8 for x:
14x+−12y=8
14x+−12y+12y=8+12y(Add 1/2y to both sides)
14x=12y+8
14x14=12y+814(Divide both sides by 1/4)
x=2y+32
Step: Substitute 2y+32 for x in 12x+34y=−5:
12x+34y=−5
12(2y+32)+34y=−5
74y+16=−5(Simplify both sides of the equation)
74y+16+−16=−5+−16(Add -16 to both sides)
74y=−21
74y74=−2174(Divide both sides by 7/4)
y=−12
Step: Substitute−12 for y in x=2y+32:
x=2y+32
x=(2)(−12)+32
x=8