What is x+7y=10,2x+y=13 ?

The solution to x+7y=10,2x+y=13 is x= 81/13 ,y= 7/13

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x+7y=10,2x+y=13

x + 7 y = 10, 2 x + y = 13

x = \frac{81}{13}, y = \frac{7}{13}

Solution steps

[x + 7 y = 10 2 x + y = 13]

Isolate

x

for

x + 7 y = 10 : x = 10 - 7 y

Substitute

x = 10 - 7 y

[2 (10 - 7 y) + y = 13]

Simplify

[20 - 13 y = 13]

Isolate

y

for

20 - 13 y = 13 : y = \frac{7}{13}

For

x = 10 - 7 y

Substitute

y = \frac{7}{13}

x = 10 - 7 \cdot \frac{7}{13}

10 - 7 \cdot \frac{7}{13} = \frac{81}{13}

x = \frac{81}{13}

The solutions to the system of equations are:

x = \frac{81}{13}, y = \frac{7}{13}

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

2 x + y - 2 z = 10, 3 x + 2 y + 2 z = 1, 5 x + 4 y + 3 z = 4

m + n = 1, 2 m - n = 4

x + y = 3, x - y = 4

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