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

The solution to 4x+2y=4,2x-3y=7 is x= 13/8 ,y=-5/4

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

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

x = \frac{13}{8}, y = - \frac{5}{4}

Solution steps

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

Isolate

x

for

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

Substitute

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

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

Simplify

[2 - 4 y = 7]

Isolate

y

for

2 - 4 y = 7 : y = - \frac{5}{4}

For

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

Substitute

y = - \frac{5}{4}

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

\frac{2 - ( - \frac{5}{4} )}{2} = \frac{13}{8}

x = \frac{13}{8}

The solutions to the system of equations are:

x = \frac{13}{8}, y = - \frac{5}{4}

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

x + y + 3 z = 10, x - y - z = - 2, 2 x + 3 y + 4 z = 4

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

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

x - y - 2 z = 0, - 2 x - 6 z = 1, - x + 2 y + z = 1