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

26 is 33.33% of 78

step-by-step explanation:

26 is what percent of 78?

26 is p% of 78

equation: y = p% * x

solving our equation for p

p% = y/x

p% = 26/78

p = 0.3333

convert decimal to percent:

p% = 0.3333 * 100 = 33.33%

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