Solve by substitution. We begin by manipulating the second equation (solving for y).
2x+3y=13
4x-y=-2 => -y=-4x-2 => y=4x+2
Now substitute "4x+2" for y into the first equation because y=4x+2.
2x+3y=13 becomes 2x+3(4x+2)=13
Now solve for x.
2x+3(4x+2)=13
2x+12x+6=13
14x=7
x=1/2
Now we can solve for y because we know what x is.
y=4x+2 => y=4(1/2)+2 = y=4
answer: x=1/2, y=4, intersection point (1/2,4)
