Systems by elimination
The question
−6x + y = 2312x − y = −47
−6x + y = 23 12x − y = −47
How it works.
−6x + y = 23
12x − y = −47
−6x + y = 23
12x − y = −47
−6x + y = 23
12x − y = −47
6x = −24
6x = −24
x=−4
x=−4
y=−1
- 01
Two equations, two letters. First get down to one equation with one letter.
- 02
Look at the y terms: y in the first and −y in the second. They are opposites, so adding the two equations makes them cancel.
- 03
Add left to left and right to right — both sides stay equal. That gives 6x = −24.
- 04
One letter left. −24 ÷ 6 = −4, so x = −4.
- 05
Now put x back into either equation to find y: y = −1, so the solution is (−4, −1).