Question

Which ordered pair is the solution to the system of linear equations y = negative 7 x + 2 and y = 9 x minus 14? (negative 5, 1) (1, negative 5) (5, negative 1) (Negative 1, 5)

Answer 1

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Explanation:

Answer 2

B.
`(1,-5)`

Explanation:

We have been given a system of equations. We are asked to choose the ordered par that is the solution to the given system.

`y=-7x+2...(1)`

`y=9x-14...(2)`

To solve our given system, we will equate both equations as:

`9x-14=-7x+2`

Combine like terms:

`9x+7x-14+14=-7x+7x+2+14`

`16x=16`

`x=(16)/(16)=1`

Upon substituting
`x=1` in equation (1), we will get:

`y=-7(1)+2\\\\y=-7+2\\\\y=-5`

Therefore, the ordered pair
`(1,-5)` is the solution of the given system and option B is the correct choice.