What is 8x+10y=10,-4x-10y=-7 ?

The solution to 8x+10y=10,-4x-10y=-7 is x= 3/4 ,y= 2/5

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8x+10y=10,-4x-10y=-7

8 x + 10 y = 10, - 4 x - 10 y = - 7

x = \frac{3}{4}, y = \frac{2}{5}

Solution steps

[8 x + 10 y = 10 - 4 x - 10 y = - 7]

Isolate

x

for

8 x + 10 y = 10 : x = \frac{5 ( - y + 1 )}{4}

Substitute

x = \frac{5 ( - y + 1 )}{4}

[- 4 \cdot \frac{5 ( - y + 1 )}{4} - 10 y = - 7]

Simplify

[- 5 y - 5 = - 7]

Isolate

y

for

- 5 y - 5 = - 7 : y = \frac{2}{5}

For

x = \frac{5 ( - y + 1 )}{4}

Substitute

y = \frac{2}{5}

x = \frac{5 ( - \frac{2}{5} + 1 )}{4}

\frac{5 ( - \frac{2}{5} + 1 )}{4} = \frac{3}{4}

x = \frac{3}{4}

The solutions to the system of equations are:

x = \frac{3}{4}, y = \frac{2}{5}

y = - x + 3, y = x - 3

3 x - y - 2 = 0, 2 x + y = 8

4 x + 5 y = 5, 7 x - 2 y = 41

5 x + 3 y = 1, 4 x - 2 y = 8

\frac{x}{5} - \frac{y}{4} = 0, 3 x + \frac{y}{2} = 17

What is 8x+10y=10,-4x-10y=-7 ?
The solution to 8x+10y=10,-4x-10y=-7 is x= 3/4 ,y= 2/5