# How do you solve the following system?: # -3x +8y =-7 , 2x +2y = 4#

##### 1 Answer

Mar 22, 2016

The 2nd equation really should be reduced to

Now we have the first equation as

Let us multiply everything in our simplified equation 2 by 3 so that we have the same coefficient but opposite sign , now our modified equation 2 becomes

Note that we are not changing equation 2, they are all the same equation 2.

Since we have same coefficient and opposite sign, we can add the equations and eliminate the X variable to obtain

This is great because now y becomes -1/11

Now we can substitute this y value into any of the equations , but preferably pick the simplest one, so that you have less chance of making a goofy error, so put it into X + y = 2 and you will get X = 23/11