What is 2x-4y=5,3x+2y=8 ?

The solution to 2x-4y=5,3x+2y=8 is x= 21/8 ,y= 1/16

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

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

x = \frac{21}{8}, y = \frac{1}{16}

Solution steps

[2 x - 4 y = 5 3 x + 2 y = 8]

Isolate

x

for

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

Substitute

x = \frac{5 + 4 y}{2}

[3 \cdot \frac{5 + 4 y}{2} + 2 y = 8]

Simplify

[\frac{15 + 16 y}{2} = 8]

Isolate

y

for

\frac{15 + 16 y}{2} = 8 : y = \frac{1}{16}

For

x = \frac{5 + 4 y}{2}

Substitute

y = \frac{1}{16}

x = \frac{5 + 4 \cdot \frac{1}{16}}{2}

\frac{5 + 4 \cdot \frac{1}{16}}{2} = \frac{21}{8}

x = \frac{21}{8}

The solutions to the system of equations are:

x = \frac{21}{8}, y = \frac{1}{16}

a + 2 b = 2, 5 a - b = 4

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

2 x - y = 1, x + y = 5

yy = ln (x), y = 1

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