How do you solve the system of equations 3x + 5y - 30 = 0 and x - y - 2 = 0?

1 Answer
Sep 23, 2015

x = 5
y=3

Explanation:

3x+5y−30=0---------------(1)
x−y−2=0 -------------------(2)

Solve the equation (2) for y

-y = 2-x
y = -2+x

Substitute the value of y = -2+x in equation (1)
3x+5( -2+x)−30=0

Simplify

3x -10+5x −30=0
8x −40=0
8x =40
x=40/8=5
x = 5

Substitute x = 5 in equation (2)

5−y−2=0

Simplify -
3-y=0
-y =-3
y=3

Watch this video