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.

Question

asked Feb 16, 2017 153k views

2 Answers

Pavelety · Answer 1 · 2017-02-20T13:04:35+0000

Answer:

(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
into equation(1) and solve for
:

2x+5(4)=16

2x=-4

$\boxed{x=-2}$

Thus the solution to our system of equations is

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