Answers: x = 6, y= -4
Steps using substitution:
1. On the second equations add x on both sides.
y + x= 2
2. On the first pair of equation, solve the x by isolating on the left hand side of the equal sign.
5x - 7y = 58
Add 7y to both sides of the equation.
5x = 7y + 58
Divide by 5
X = 1/5 (7y+58)
Multiplier 1/5 times 7y + 58
X = 7/5y + 58/5
Substitute this equation to the other equation, x + y = 2
7/5y + 58/5 + y = 2
Add 7y/5 to y
12/5y + 58/5 = 2
Subtract 58/5
12/5y = -48/5 then divide the 12/5
Y= -4
Now plug in y which is -4 in x= 7/5y + 58/5
X = 7/5 (-4) + 58/5
X = -28+58/5
X = 6
X = 6, Y = -4