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

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)