Solve the simultaneous equations. 2x + y = 18 x - y = 6

2x + y = 18x - y = 6. There are a few methods you can use to tackle simultaneous equations. The one I find the easiest is making one of the unknowns a subject and plugging it back into the other equation. In this case, I would pick y to be a subject from the second equation because there is only one y in both equations. To get:y=x-6This condition can now be plugged into the first equation:2x +(x-6)= 18rearranging this gives us2x+x= 18+6 3x=24 (divide both sides by 3)x=8Now using our initial subject y= x-6 Use the observed x-value to obtain the following result: y=8-6=2 We can then check that the answer we got is right by plugging x and y values back into the initial equations: 2(8)+2=188-2=6LHS= RHS, meaning the x and y values we found are correct. Other ways to solve this type of problems could be subtracting or adding two equations together to eliminate one of the variables and find the value of the other.