What is 10y+7x=2,9-5y-9x=2 ?

The solution to 10y+7x=2,9-5y-9x=2 is x= 12/11 ,y=-31/55

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10y+7x=2,9-5y-9x=2

10 y + 7 x = 2, 9 - 5 y - 9 x = 2

x = \frac{12}{11}, y = - \frac{31}{55}

Solution steps

[10 y + 7 x = 2 9 - 5 y - 9 x = 2]

Isolate

y

for

10 y + 7 x = 2 : y = \frac{2 - 7 x}{10}

Substitute

y = \frac{2 - 7 x}{10}

[9 - 5 \cdot \frac{2 - 7 x}{10} - 9 x = 2]

Simplify

[\frac{- 2 - 11 x}{2} + 9 = 2]

Isolate

x

for

\frac{- 2 - 11 x}{2} + 9 = 2 : x = \frac{12}{11}

For

y = \frac{2 - 7 x}{10}

Substitute

x = \frac{12}{11}

y = \frac{2 - 7 \cdot \frac{12}{11}}{10}

\frac{2 - 7 \cdot \frac{12}{11}}{10} = - \frac{31}{55}

y = - \frac{31}{55}

The solutions to the system of equations are:

x = \frac{12}{11}, y = - \frac{31}{55}

3 x + 2 y = 18, 13 x - 14 y + 58 = 0

4 x + 5 y = 40, - x = 2 y - 3

4 x - y = 5, x + y = 5

5 x + 3 y = 21, - x + 2 y = 12

- 2 + \frac{y}{2} = 2, x + 2 y = 8

What is 10y+7x=2,9-5y-9x=2 ?
The solution to 10y+7x=2,9-5y-9x=2 is x= 12/11 ,y=-31/55