Question

Solve the system of equations below

Answer 1

The answer is B. (5, -4)

Answer 2

B.
`(5,-4)`

Explanation:

We have been given a system of equations. We are asked to find he solution for our given system.

`4x+y=16...(1)`

`2x+3y=-2...(2)`

We will use substitution method to solve our given system. From equation (1) we will get:

`y=16-4x`

Upon substituting this value in equation (2), we will get:

`2x+3(16-4x)=-2`

`2x+48-12x=-2`

`-10x+48=-2`

`-10x+48-48=-2-48`

`-10x=-50`

`(-10x)/(-10)=(-50)/(-10)`

`x=5`

Now, we will substitute
`x=5` in equation (1) to solve for y.

`4*5+y=16`

`20+y=16`

`20-20+y=16-20`

`y=-4`

Therefore, the solution for our given system would be
`(5,-4)` and option B is the correct choice.