Question 1056570
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Use elimination to solve each system of equations. I have to show all work and write the answer as an (x,y) ordered.
5x-2y=-10
3x+6y=66
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<pre>
5x - 2y = -10,    (1)
3x + 6y =  66.    (2)

Multiply equation (1) by 3 (both sides). You will get

15x - 6y = -30,   (1')
 3x + 6y =  66.   (2')

Add the equations (1') and (2'). By doing this way, you eliminate "y" and get a single equation for "x":

18x = 66 - 30,

18x = 36,

x = {{{36/18}}} = 2.

From this point please complete the solution on your own.
</pre>

On Elimination method see the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF = http://www.algebra.com/algebra/homework/coordinate/lessons/Solution-of-the-lin-syst-of-two-eqns-with-two-unknowns-Elimination-method.lesson>Solution of a linear system of two equations in two unknowns by the Elimination method</A> 

in this site.