Question

Solve the system of equations.
13x – 6y = 22
x = y + 6

Answer 1

x = -2

y = -8

Explanation:

13x – 6y = 22

x = y + 6

x - y = 6

Elimination

13x - 6y = 22 | ×1 |

x - y = 6 | ×6 |

13x - 6y = 22

6x - 6y = 36

___________--

7x = -14

x = -14/7

x = -2

Subsitution

x - y = 6

-2 - y = 6

-y = 6 + 2

-y = 8

y = -8

Answer 2

`y=-8\\x=-2`

Explanation:

`13x-6y=22\\x=y+6`

Replace x in the first equation.

`13x-6y=22\\13(y+6)-6y=22\\13y+78-6y=22\\7y+78=22\\7y=22-78\\7y=-56\\y=(-56)/(7)\\ y=-8`

Now replace y in any of the equations to find x.

`x=y+6x=-8+6\\x=-2`