Question

Solve the system of equations by elimination. Express the solution as an ordered pair.

-6x + y = -3
5x - 2y = -8

Answer 1

The solution is (2,9)

Explanation:

The equations are:

-6x + y = -3

5x - 2y = -8

Elimination:

One of the coefficients(either x or y) must be opposite, so I will multiply the first equation by 2.

-12x + 2y = -6

5x - 2y = -8

Adding the equations:

`-12x + 5x + 2y - 2y = -6 - 8`

`-7x = -14`

`7x = 14`

`x = (14)/(7)`

`x = 2`

Finding y:

`5x - 2y = -8`

`5(2) - 2y = -8`

`2y = 18`

`y = (18)/(2)`

`y = 9`

Solution as an ordered pair:

(x,y) = (2,9)

The solution is (2,9)