What is 2x+4y=1,3x-5y=7 ?

The solution to 2x+4y=1,3x-5y=7 is x= 3/2 ,y=-1/2

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2x+4y=1,3x-5y=7

2 x + 4 y = 1, 3 x - 5 y = 7

x = \frac{3}{2}, y = - \frac{1}{2}

Solution steps

[2 x + 4 y = 1 3 x - 5 y = 7]

Isolate

x

for

2 x + 4 y = 1 : x = \frac{1 - 4 y}{2}

Substitute

x = \frac{1 - 4 y}{2}

[3 \cdot \frac{1 - 4 y}{2} - 5 y = 7]

Simplify

[\frac{3 - 22 y}{2} = 7]

Isolate

y

for

\frac{3 - 22 y}{2} = 7 : y = - \frac{1}{2}

For

x = \frac{1 - 4 y}{2}

Substitute

y = - \frac{1}{2}

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

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

x = \frac{3}{2}

The solutions to the system of equations are:

x = \frac{3}{2}, y = - \frac{1}{2}

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

- 2 x + 4 y = 7, 3 x - 5 y = 4

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

x + y = 6, x - y = 4

3 x - y = 3, 9 x - 3 y = 9