Question 81694
the goal is to eliminate one of the variables ... since y has the same coefficient in both equations, you can multiply one of the equations by -1 and then add them together


multiplying the second equation by -1 gives -4x+3y=-11 ... adding the first equation gives 5x-3y-4x+3y=13-11


combining terms gives x=2 ... so, using first equation, 5(2)-3y=13 ... 10-3y=13 ... -3y=3 ... so y=-1