What is 5x+4y=10,6x+2y=2 ?

The solution to 5x+4y=10,6x+2y=2 is x=-6/7 ,y= 25/7

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5x+4y=10,6x+2y=2

5 x + 4 y = 10, 6 x + 2 y = 2

x = - \frac{6}{7}, y = \frac{25}{7}

Solution steps

[5 x + 4 y = 10 6 x + 2 y = 2]

Isolate

x

for

5 x + 4 y = 10 : x = \frac{10 - 4 y}{5}

Substitute

x = \frac{10 - 4 y}{5}

[6 \cdot \frac{10 - 4 y}{5} + 2 y = 2]

Simplify

[\frac{60 - 14 y}{5} = 2]

Isolate

y

for

\frac{60 - 14 y}{5} = 2 : y = \frac{25}{7}

For

x = \frac{10 - 4 y}{5}

Substitute

y = \frac{25}{7}

x = \frac{10 - 4 \cdot \frac{25}{7}}{5}

\frac{10 - 4 \cdot \frac{25}{7}}{5} = - \frac{6}{7}

x = - \frac{6}{7}

The solutions to the system of equations are:

x = - \frac{6}{7}, y = \frac{25}{7}

3 x + 2 y = 10, x - y = 0

2 x + 5 y = 60, 3 x - 2 y = 14

7 x + 3 y = 37, 7 x + y = 31

4 x - x = 2, x - 54 x - x = 2 x - 5

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