What is 3x-5y=4,9x-2y=7 ?

The solution to 3x-5y=4,9x-2y=7 is x= 9/13 ,y=-5/13

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3x-5y=4,9x-2y=7

3 x - 5 y = 4, 9 x - 2 y = 7

x = \frac{9}{13}, y = - \frac{5}{13}

Solution steps

[3 x - 5 y = 4 9 x - 2 y = 7]

Isolate

x

for

3 x - 5 y = 4 : x = \frac{4 + 5 y}{3}

Substitute

x = \frac{4 + 5 y}{3}

[9 \cdot \frac{4 + 5 y}{3} - 2 y = 7]

Simplify

[13 y + 12 = 7]

Isolate

y

for

13 y + 12 = 7 : y = - \frac{5}{13}

For

x = \frac{4 + 5 y}{3}

Substitute

y = - \frac{5}{13}

x = \frac{4 + 5 ( - \frac{5}{13} )}{3}

\frac{4 + 5 ( - \frac{5}{13} )}{3} = \frac{9}{13}

x = \frac{9}{13}

The solutions to the system of equations are:

x = \frac{9}{13}, y = - \frac{5}{13}

x - y = 3, 2 x + y = 12

4 x + 6 y = 24, 2 x + 3 y = 6

x + 3 y = - 1, 2 x - y = 5

x - 3 y + 2 z = - 3, 5 x + 6 y - z = 13, 4 x - y + 3 z = 8

5 x - 3 y - z = 1, x + 4 y - 6 z = - 1, 2 x + 3 y + 4 z = 9