3x+4y=11 5x+2y=-5 Elimination Method systems of equations

3x+4y=11

5x+2y=-5        note that, if we multiply the second equation  by -2 and add it to the first one, we can "eliminate" y

So we have

3x     +   4y = 11

-10x  -    4y = 10

------------------      add

-7x             =  21    divide both sides by -3

x = -3

To find y, just substitute for x in any of the equations......i'll use the first one

3(-3) + 4y = 11

-9  + 4y     = 11    add 9 to both sides

4y  = 20               divide both sides by 4

y = 5

And that's it