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

The solution to 3x+y=2,7x-2y=2 is x= 6/13 ,y= 8/13

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

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

x = \frac{6}{13}, y = \frac{8}{13}

Solution steps

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

Isolate

x

for

3 x + y = 2 : x = \frac{2 - y}{3}

Substitute

x = \frac{2 - y}{3}

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

Simplify

[\frac{14 - 13 y}{3} = 2]

Isolate

y

for

\frac{14 - 13 y}{3} = 2 : y = \frac{8}{13}

For

x = \frac{2 - y}{3}

Substitute

y = \frac{8}{13}

x = \frac{2 - \frac{8}{13}}{3}

\frac{2 - \frac{8}{13}}{3} = \frac{6}{13}

x = \frac{6}{13}

The solutions to the system of equations are:

x = \frac{6}{13}, y = \frac{8}{13}

a = - 18, a^{5} = 9, a^{9} = 0

3 x + 5 y = 8, 7 x - 9 y = 7

x + 2 y = - 4, 3 x - 2 y = 20

2 x + 4 y = 8, x + 2 y = 4

x + 5 y = - 21, - 2 x + 3 y = 3