Question

Use substitution to solve the system. x = 3y-7 5x+2y = 33

Answer 1

x=-3y-7

5x+2y=33

Solve x = 3y-7 for x

Substitute 3y-7 for x in 5x +2y=33

5x+2y=33

5(3y-7)+2y=33

Simplify both sides of the equation

17y-35=33

Add 35 to both sides

17y-35+35=33+35

17y=68

Divide both sides by 17

17y/17=68/17

y=4

Substitute 4 for y in x =3y-7

x =3y-7

x =(3)(4)-7

Simplify both sides of the equation

x=5

Answer : x=5 and y=4

I hope that's help and have a great day !

Answer 2

You would have to plug it in ~ 5(3y-7)+2y=33, then you would multiply ~ 15y-35+2y=33, then you would simplify ~ 17y=68, then divide ~ y=4, then plug in y and multiply and simplify ~ x=3(4)-7 -- x=12-7 -- x=5. Answer~X=5 Y=4