What is 3x-5y-4=0,9x-2y+7=0 ?

The solution to 3x-5y-4=0,9x-2y+7=0 is x=-43/39 ,y=-19/13

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3x-5y-4=0,9x-2y+7=0

3 x - 5 y - 4 = 0, 9 x - 2 y + 7 = 0

x = - \frac{43}{39}, y = - \frac{19}{13}

Solution steps

[3 x - 5 y - 4 = 0 9 x - 2 y + 7 = 0]

Isolate

x

for

3 x - 5 y - 4 = 0 : x = \frac{5 y + 4}{3}

Substitute

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

[9 \cdot \frac{5 y + 4}{3} - 2 y + 7 = 0]

Simplify

[13 y + 19 = 0]

Isolate

y

for

13 y + 19 = 0 : y = - \frac{19}{13}

For

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

Substitute

y = - \frac{19}{13}

x = \frac{5 ( - \frac{19}{13} ) + 4}{3}

\frac{5 ( - \frac{19}{13} ) + 4}{3} = - \frac{43}{39}

x = - \frac{43}{39}

The solutions to the system of equations are:

x = - \frac{43}{39}, y = - \frac{19}{13}

3 x - 2 y = - 5, 4 x + 5 y = 47

x + z = 5, 2 x + 3 z = 7

2 x - 3 y + 4 = 0, 3 x - 2 y + 3 = 0

y = - 2, x = 7

3 x + 2 y = 10, 4 x - 6 y = 9

What is 3x-5y-4=0,9x-2y+7=0 ?
The solution to 3x-5y-4=0,9x-2y+7=0 is x=-43/39 ,y=-19/13