Question

1.5x+2y=11, 3x+6y=22

Answer 1

x=22/3,y=0

Explanation:

First, multiply the first equation by 3 so you have matching terms on the top and on the bottom.

3(1.5x+2y=11)

4.5x+6y=33

Then, subtract the two equations.

4.5x+6y=33

-(3x+6y=22)

4.5x-3y+6y-6y=33-22

1.5x=11

x = 11/1.5 or 22/3

Then, plug this back in to find the y value.

1.5(22/3)+2y=11

33/3+2y=11

11+2y=11

2y=0

y=0

Answer 2

X=7 1/3, y=0

Explanation:

1) 1.5x+2y=11 --> 3x+4y=22

2) 3x+6y=22

Subtract 1) from 2)

2y=0

y=0

Plug into 2)

3x+6*0=22

3x=22

x=7 1/3