What is -1/8*x+y= 33/4 ,-1/9*x-1/10*y=-47/30 ?

The solution to -1/8*x+y= 33/4 ,-1/9*x-1/10*y=-47/30 is x=6,y=9

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-1/8x+y= 33/4 ,-1/9x-1/10*y=-47/30

- \frac{1}{8} \cdot x + y = \frac{33}{4}, - \frac{1}{9} \cdot x - \frac{1}{10} \cdot y = - \frac{47}{30}

x = 6, y = 9

Solution steps

[- \frac{1}{8} x + y = \frac{33}{4} - \frac{1}{9} x - \frac{1}{10} y = - \frac{47}{30}]

Isolate

x

for

- \frac{1}{8} \cdot x + y = \frac{33}{4} : x = - 66 + 8 y

Substitute

x = - 66 + 8 y

[- \frac{1}{9} (- 66 + 8 y) - \frac{1}{10} y = - \frac{47}{30}]

Simplify

[\frac{660 - 89 y}{90} = - \frac{47}{30}]

Isolate

y

for

\frac{660 - 89 y}{90} = - \frac{47}{30} : y = 9

For

x = - 66 + 8 y

Substitute

y = 9

x = - 66 + 8 \cdot 9

Simplify

x = 6

The solutions to the system of equations are:

x = 6, y = 9

9 x + 3 y = 33, 3 x + 9 y = 51

16 x + 11 y = 15, 411 x + 16 y = 89

3 x + y = 9, x - 2 y = - 4

2 x - 7 y = 6, 8 x - 28 y = 24

x - y = 7, x + y = 11

What is -1/8*x+y= 33/4 ,-1/9*x-1/10*y=-47/30 ?
The solution to -1/8*x+y= 33/4 ,-1/9*x-1/10*y=-47/30 is x=6,y=9