how do you solve -x + 2y= 1 and x+ y=5
solve the linear system by addition-elimation
method. (FInd the intersection of the two lines)
Because one equation has a negative x and the
other equation has a positive x, you can eliminate
the x by adding the two equations.
-x + 2y = 1
+(x + y = 5)
-------------------
3y = 6
y = 2
Plug that value into one of the equations
to solve for x.
x + y = 5
x + 2 = 5
x = 3
The lines intersect at (3, 2)