Question

Algebra 1.

13. Write a system of linear equations that has the ordered pair (3, -5) as its solution.

Answer 1

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

Explanation:

3 is the
`x`, and -5 is the
`y`.

1) Create two equations that add and subtract them.

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

2) Check whether you get the same answer (3,-5) or not. To do so, you need to solve them simultaneously using the elimination or substitution method. I will demonstrate using the substitution method.

`x = -2 - y\\x-y=8\\(-2 - y) -y =8\\-2-2y=8\\-2y = 8 + 2\\-2y = 10\\y = (10)/(-2) \\y = -5`

To find
`x`, substitute the result into one of the two equations. I choose
`x+y=-2`.

`x-5=-2\\x = -2 +5\\x = 3`