Question

Use the substitution method to solve the system of equations. Enter your answer as an ordered pair.

3x - y = 7

2x - 2y = 2

Answer 1

i would multiply the top equation by -2 and then add them together to see what you get

Answer 2

3x-y=7
-y=7-3x
y=-7+3x

sub to 2x-2y=2

2x-2(-7+3x)=2
2x-6x+14=2
-4x=-12
x=3

sub to y=-3x-7
y=-3(3)-7
y=-16

(3,-16)

Answer 3

2x-2y = 2
implies x-y = 1
implies x = y+1

3x-y = 7
implies 3(y+1)-y=7
implies 3y+3-y=7
im;ies 2y=4
implies y=2
x=2+1 =3
x,y = 3,2

Answer 4

(3,2)

Answer 5

multiply first equation throughout by 2

Answer 6

6x-2y=14
-)2x-2y=2
--------
4x=12

Answer 7

x=3 no wsub that into original eqn

Answer 8

u'll get 2

Answer 9

i correct myself
3x-y=7
-y=7-3x
y=-7+3x

sub to 2x-2y=2
2x-2(-7+3x)=2
2x-6x+14=2
-4x=-12
x=3

sub to y=-7+3x
y=-7+9
y=2

(3,2)