What is 4x+5y=5,-4x-10y=-7 ?

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

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4x+5y=5,-4x-10y=-7

4 x + 5 y = 5, - 4 x - 10 y = - 7

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

Solution steps

[4 x + 5 y = 5 - 4 x - 10 y = - 7]

Isolate

x

for

4 x + 5 y = 5 : x = \frac{5 - 5 y}{4}

Substitute

x = \frac{5 - 5 y}{4}

[- 4 \cdot \frac{5 - 5 y}{4} - 10 y = - 7]

Simplify

[- 5 - 5 y = - 7]

Isolate

y

for

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

For

x = \frac{5 - 5 y}{4}

Substitute

y = \frac{2}{5}

x = \frac{5 - 5 \cdot \frac{2}{5}}{4}

\frac{5 - 5 \cdot \frac{2}{5}}{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 = 0, x = 1, y = 0

x + 5 y = 19, 2 x - y = 5

\frac{1}{x} + \frac{1}{y} = 5, \frac{3}{x} + \frac{2}{y} = 12

10 x + 8 y = 6, e^{4} x - 9 y = 161

3 x - 7 y + 10 = 0, y - 2 x - 3 = 0

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