Question

left { {{5 ^{2x+y}=125 } atop {4 ^{(x-y)} ^{2} =1 }} right.
$left { {{5 ^{2x+y}=125 } atop {4 ^{(x-y)} ^{2} =1 }} right.$

Answer 1

$left { {{5 ^{2x+y}=125 } atop {4 ^{(x-y)} ^{2} =1 }} right. \\ left { {{5 ^{2x+y}=5^3 } atop {4 ^{(x-y)} ^{2} =4^0 }} right. \\ left { {{2x+y=3 } atop {(x-y)} ^{2} =0 }} right. \\ left { {{2x+y=3 } atop {x-y=0 }} right. \\ left { {{2x+y=3 } atop {3x=3 }} right. \\ left { {{2x+y=3 } atop {x=1 }} right. \\ left { {{2+y=3 } atop {x=1 }} right. \\ left { {{y=1 } atop {x=1 }} right.$