Question

Using the substitution method to solve the system. 5x+2y=5 x=3y-16

Answer 1

5x+2y=5
x=3y-16
5(3y-16)+2y=5
15y-80+2y=5 collect the like terms
15y+2y=5+80
17y=85 divide both sides by 17
y=5

5x+2(5)=5
5x+10=5
5x=-5
x=-1
so x=-1 and y=5

Answer 2

5x + 2y = 5
Since, x = 3y - 16
Therefore,
5(3y - 16) + 2y = 5
15y - 80 +2y = 5
17y = 85
y = 5
therefore,
x = -1
y = 5