What is 5x-4y=2,6x-3y=2 ?

The solution to 5x-4y=2,6x-3y=2 is x= 2/9 ,y=-2/9

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5x-4y=2,6x-3y=2

5 x - 4 y = 2, 6 x - 3 y = 2

x = \frac{2}{9}, y = - \frac{2}{9}

Solution steps

[5 x - 4 y = 2 6 x - 3 y = 2]

Isolate

x

for

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

Substitute

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

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

Simplify

[\frac{12 + 9 y}{5} = 2]

Isolate

y

for

\frac{12 + 9 y}{5} = 2 : y = - \frac{2}{9}

For

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

Substitute

y = - \frac{2}{9}

x = \frac{2 + 4 ( - \frac{2}{9} )}{5}

\frac{2 + 4 ( - \frac{2}{9} )}{5} = \frac{2}{9}

x = \frac{2}{9}

The solutions to the system of equations are:

x = \frac{2}{9}, y = - \frac{2}{9}

3 x = 9 \cdot 3 y, 8 \cdot 2 y = 4 x

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

2 x - 3 y + 9 = 0, x + 2 y = - 1

x + 2 z = 1, y + z = 4

3 x + 4 y = - 18, 7 x - 6 y = 4