Solve by elimination method - > x/10+y/5=1, x/8+y/6=15

x=340

y=-165

Step-by-step explanation:

x/10+y/5=1 Equation 1

x/8+y/6=15 Equation 2

Using elimination method, we multiply equation 1 by 1/6, the coefficient of y in equation 2 and then also multiply equation 2 by 1/5, the coefficient of y in equation 1, this will make you have the same coefficient and then easy to eliminate.

1/6 (x/10+y/5=1)

x/60+y/30=1/6 Equation 3

1/5 (x/8+y/6=15)

x/40+y/30=15/5

x/40+y/30=3 Equation 4

We subtract equation 3 from equation 4 to eliminate y

x/40-x/60 = (3x-2x) / 120 = x/120

y/30-y/30

3-1/6 = (18-1) / 6 = 17/6

We now have

x/120=17/6

Cross multiply

6x=2040

Divide both sides by 6

6x/6=2040/6

x=2040/6

x=340

Substitute x for 340 in equation 1

x/10+y/5=1

340/10+y/5=1

34+y/5=1

y/5=1-34

y/5=-33

Cross multiply

y=-33 (5)

y=-165