Linear
Combination

A+B=1
A+8B=15

First multiply the first equation by -1.

-A-B=-1
A+8B=15

Your "A" is cancled because A-A=0. Then subtract 8B-B and your 15-1.

7B=14

Divide 7 on both sides.

7B=14
7 = 7

B then equals 2.

Put the 2 back in for one of the first equations.

A+2=1

Subtract 2 on both sides.

A=-1

Your points are (-1,2)