What is x-2y=-7,4x+2y=5 ?

The solution to x-2y=-7,4x+2y=5 is x=-2/5 ,y= 33/10

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

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

x = - \frac{2}{5}, y = \frac{33}{10}

Solution steps

[x - 2 y = - 7 4 x + 2 y = 5]

Isolate

x

for

x - 2 y = - 7 : x = - 7 + 2 y

Substitute

x = - 7 + 2 y

[4 (- 7 + 2 y) + 2 y = 5]

Simplify

[- 28 + 10 y = 5]

Isolate

y

for

- 28 + 10 y = 5 : y = \frac{33}{10}

For

x = - 7 + 2 y

Substitute

y = \frac{33}{10}

x = - 7 + 2 \cdot \frac{33}{10}

- 7 + 2 \cdot \frac{33}{10} = - \frac{2}{5}

x = - \frac{2}{5}

The solutions to the system of equations are:

x = - \frac{2}{5}, y = \frac{33}{10}

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

67 x + 108 y = - 417, 108 x + 67 y = - 458

2 x + 3 y = 4, 3 x - 4 y = 23

2 x + 3 y = 5, x + 3 y = 7

0.4 b = 1, 2 c = 12.2, a = 6