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

The solution to 3x+7y=5,2x-9y=7 is x= 94/41 ,y=-11/41

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

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

x = \frac{94}{41}, y = - \frac{11}{41}

Solution steps

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

Isolate

x

for

3 x + 7 y = 5 : x = \frac{5 - 7 y}{3}

Substitute

x = \frac{5 - 7 y}{3}

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

Simplify

[\frac{10 - 41 y}{3} = 7]

Isolate

y

for

\frac{10 - 41 y}{3} = 7 : y = - \frac{11}{41}

For

x = \frac{5 - 7 y}{3}

Substitute

y = - \frac{11}{41}

x = \frac{5 - 7 ( - \frac{11}{41} )}{3}

\frac{5 - 7 ( - \frac{11}{41} )}{3} = \frac{94}{41}

x = \frac{94}{41}

The solutions to the system of equations are:

x = \frac{94}{41}, y = - \frac{11}{41}

3 x + 2 y = 51, 2 x + 8 y = 18

a + b = 7, 2 b + c = 90, c + a = 82

x + 12 y = 58, 5 x - 8 y = 18

2 x + y = 40, 3 x - y = 6

p = (3), q = (2)