Solve the simultaneous equations: 3x+y=11 and 2x+y=8.

First we want to eliminate of one these variables in order to solve the equations. We need to identify which variable has the same coefficient- in this case, it is y. So, we subtract the two equations from each other to eliminate y.3x + y =11 -2x + y =8 = x =3Now we know the value of x, we can substitute this into either one of the equations to get the value of y. Lets use the equation 2x + y =8.By substituting in x=3, we get 6+y=8 and so y=2.So the solution is x=3 and y=2.