Question

For the first equation in the system of linear equations below, write an equation without denominators. Then solve the system : x/2 + y/3 = 6 and x-y=2

Answer 1

x/2 + y/3 = 6....multiply by common denominator (6) to get rid of fractions..
3x + 2y = 36

3x + 2y = 36
x - y = 2....x = y + 2

3(y + 2) + 2y = 36
3y + 6 + 2y = 36
3y + 2y = 36 - 6
5y = 30
y = 30/5
y = 6

x - y = 2
x - 6 = 2
x = 2 + 6
x = 8

solution is : (8,6)