Answered

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.

Verified Answer :

Poltergeist

Answer:

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

Step-by-step 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

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

jdnsteph737899

Answer:

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

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