What is 10x-9y=2,4y=x-2 ?

The solution to 10x-9y=2,4y=x-2 is x=-10/31 ,y=-18/31

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10x-9y=2,4y=x-2

10 x - 9 y = 2, 4 y = x - 2

x = - \frac{10}{31}, y = - \frac{18}{31}

Solution steps

[10 x - 9 y = 2 4 y = x - 2]

Isolate

x

for

10 x - 9 y = 2 : x = \frac{2 + 9 y}{10}

Substitute

x = \frac{2 + 9 y}{10}

[4 y = \frac{2 + 9 y}{10} - 2]

Isolate

y

for

4 y = \frac{2 + 9 y}{10} - 2 : y = - \frac{18}{31}

For

x = \frac{2 + 9 y}{10}

Substitute

y = - \frac{18}{31}

x = \frac{2 + 9 ( - \frac{18}{31} )}{10}

\frac{2 + 9 ( - \frac{18}{31} )}{10} = - \frac{10}{31}

x = - \frac{10}{31}

The solutions to the system of equations are:

x = - \frac{10}{31}, y = - \frac{18}{31}

x = - 25, y = - 18

\frac{x}{- 4} = - 2, \frac{5}{y} = - \frac{35}{28}

- i + z^{2} = 1, + i - z^{3} = 2 + i, z^{1} = 1

x - y = - 5, 3 x + 2 y = 15

2 x + 3 y = 10, 4 x - y = - 1