Using the method of substitution: Isolating x from the equation (2): (2) x-7y=-34 x-7y+7y=-34+7y x=7y-34 (3)
Replacing x by 7y-34 in the first equation: (1) 5x=-2+7y 5(7y-34)=-2+7y Solving for y: 35y-170=-2+7y 35y-170+170-7y=-2+7y+170-7y 28y=168 28y/28=168/28 y=6
Replacing y by 6 in equation (3) (3) x=7y-34 x=7(6)-34 x=42-34 x=8
Answer: The solution of the system of equations is: x=8 and y=6
