5x + y = 22 3x + y = 12 Solve by elimination steps

(5, - 3)

Step-by-step explanation:

Elimination is also sometimes called 'subtraction' method

Subtract the second equation form the first equation ...

5x + y = 22

-

3x + y = 12

The result is

2x = 10 (5x - 3x = 2x, y - y = 0, 22 - 12 = 10)

Now solve for x ...

x = 5 (divide by 2 on both sides)

Now that we know x = 5, plug that into either equation to solve for y ...

5 (5) + y = 22

25 + y = 22

y = - 3