Question

2x+5y=16

-5x-2y=2
Solve the following system of equations. Express your answer As an ordered pair in the format (a,b), with no spaces between the numbers or symbols.

Answer 1

Make sure that you enter just (-2,4)

Answer 2

(x,y) = (-2,4)

Explanation:

We have two equations:

`(1).\:2x+5y=16\\(2).-5x-2y=2`

Now let us us multiply equation (1) by 5, and equation (2) by 2:

`(1).\:5(2x+5y=16)\rightarrow\:10x+25y=80\\\\(2).2(-5x-2y=2)\rightarrow\:-10x-4y=4`

and add the two equations to get:

`21y=84`

`\boxed{y=4}`

Now we put this value of
`y` into equation(1) and solve for
`x` :

`2x+5(4)=16`

`2x=-4`

`\boxed{x=-2}`

Thus the solution to our system of equations is

`\boxed{(x,y)=(-2,4)}`