This is the concept of simultaneous equations, the question requires us to solve the system of equations given by: 2x+4y=38 10x+3y=105 from the top equation; 2x=38-4y dividing through by 2 we get: x=19-2y......(*) substituting (*) in the second equation we get: 10x+3y=105 10(19-2y)+3y=105 190-20y+3y=105 collecting like terms we get: -20y+3y=105-190 -17y=-85 dividing both sides by -17 we get: (-17y)/(-17)=(-85)/(-17) y=5 thus x=19-2y x=19-2*5 x=19-10 x=9 thus x=9 and y=5