Step 1
Write out and name the two equations
3x - 5y = 11 ----------------- 1
x - 4y = -8 ----------------- 2
Step 2
Use elimination method
firstly, choice x as variable to eliminate.
secondly, make the coeficient equal by multiplying equation 2 by 3.
3x - 5y = 11
x - 4y = -8 x 3
3x - 5y = 11
3x - 12y = -24
thirdly, subtract if variable x have the same sign,
3x - 3x -5y - (-12y) = 1 1 - (-24)
-5y + 12y = 11 + 24
7y = 35
y = 35/7
y = 5
Step 3
substitute y in equation 1 to find x
3x - 5y = 11
3x - 5(5) = 11
3x - 25 = 11
3x = 1 1 + 25
3x = 36
x = 36/3
x = 12
