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

The solution to 2x+5y=4,3x+4y=2 is x=-6/7 ,y= 8/7

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

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

x = - \frac{6}{7}, y = \frac{8}{7}

Solution steps

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

Isolate

x

for

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

Substitute

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

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

Simplify

[\frac{12 - 7 y}{2} = 2]

Isolate

y

for

\frac{12 - 7 y}{2} = 2 : y = \frac{8}{7}

For

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

Substitute

y = \frac{8}{7}

x = \frac{4 - 5 \cdot \frac{8}{7}}{2}

\frac{4 - 5 \cdot \frac{8}{7}}{2} = - \frac{6}{7}

x = - \frac{6}{7}

The solutions to the system of equations are:

x = - \frac{6}{7}, y = \frac{8}{7}

4 x + 2 y = - 8, - x - 0.5 y = 2

2 x + 3 y = 1, 6 x - y = 3

11 x - 9 y = 21, 3 x - 15 y = - 2

3 x + 2 y = 19, 4 x - y = 29

x + y = - 2, 2 x - y = 26