Value of X and Y

The above simplified is: 4y - x = 1

                                      2y + x = 5

These 2 equations are in standard form. Let's use a method to solve it without changing them at all.

Add the 2 equations together, keeping the variables on the same side:

 Divide each side by 2, y = -2

Put the solution for y (-2) back into each equation. Then, solve for x.

If you had needed or wanted to, you could have multiplied the bottom equation by -2 to eliminate y, then solve for x. You can multiply both equations by numbers, as long as you remember to multiply both sides by that number.

Just add the equations and we get :

6y =  6      divide both sides by 6

y  = 1

Subbing this back into either equation to find x

1x  + 2(1)  =  5

x +  2   =  5       subtract 2 from both sides

x  =  3

So   the solution set  is  { x, y }    =    { 3, 1 }