Help with algebra homework? solve using the elimination method

Question

2x/5+y/3=6

x/2-y/6=3

Answer 1

Eliminate the fractions by multiplying the equation 1 with 15 and equation 2 with 12.

2x/5+y/3=6 ----------> 6x + 5y = 90

x/2-y/6=3 -------------> 6x - 2y = 36

Subtract the equations from each other.

6x + 5y = 90

6x - 2y = 36

-------------------

7y = 54

y = 54/7

Substitute y = 54/7 in 6x - 2y = 36

6x - 2 * 54/7 = 36

6x = 36 + 108/7 = 360/7

x = 360/42 = 60/7

Ordered pair is (60/7, 54/7)