Answer:
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
