What is x/(10)+y/5 =1,4 x/8+y/6 =15 ?

The solution to x/(10)+y/5 =1,4 x/8+y/6 =15 is x=34,y=-12

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x/(10)+y/5 =1,4 x/8+y/6 =15

\frac{x}{10} + \frac{y}{5} = 1, 4 \frac{x}{8} + \frac{y}{6} = 15

x = 34, y = - 12

Solution steps

[\frac{x}{10} + \frac{y}{5} = 1 4 \cdot \frac{x}{8} + \frac{y}{6} = 15]

Isolate

x

for

\frac{x}{10} + \frac{y}{5} = 1 : x = 10 - 2 y

Substitute

x = 10 - 2 y

[4 \cdot \frac{10 - 2 y}{8} + \frac{y}{6} = 15]

Simplify

[- \frac{5 y}{6} + 5 = 15]

Isolate

y

for

- \frac{5 y}{6} + 5 = 15 : y = - 12

For

x = 10 - 2 y

Substitute

y = - 12

x = 10 - 2 (- 12)

10 - 2 (- 12) = 34

x = 34

The solutions to the system of equations are:

x = 34, y = - 12

x + y = 2, 5 x - y = 5

2 x - 5 y = 20, - 3 (x - y) + y = - 2

x - 3 y = 2, x + y = 6

x + y = 14, 0 x - 2 y = 20

2 x + y = 3, x + y = 2

What is x/(10)+y/5 =1,4 x/8+y/6 =15 ?
The solution to x/(10)+y/5 =1,4 x/8+y/6 =15 is x=34,y=-12