What is 7m+7n=11,27m+6n=108 ?

The solution to 7m+7n=11,27m+6n=108 is m= 230/49 ,n=-153/49

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7m+7n=11,27m+6n=108

7 m + 7 n = 11, 27 m + 6 n = 108

m = \frac{230}{49}, n = - \frac{153}{49}

Solution steps

[7 m + 7 n = 11 27 m + 6 n = 108]

Isolate

m

for

7 m + 7 n = 11 : m = \frac{11 - 7 n}{7}

Substitute

m = \frac{11 - 7 n}{7}

[27 \cdot \frac{11 - 7 n}{7} + 6 n = 108]

Simplify

[\frac{297 - 147 n}{7} = 108]

Isolate

n

for

\frac{297 - 147 n}{7} = 108 : n = - \frac{153}{49}

For

m = \frac{11 - 7 n}{7}

Substitute

n = - \frac{153}{49}

m = \frac{11 - 7 ( - \frac{153}{49} )}{7}

\frac{11 - 7 ( - \frac{153}{49} )}{7} = \frac{230}{49}

m = \frac{230}{49}

The solutions to the system of equations are:

m = \frac{230}{49}, n = - \frac{153}{49}

7 x + 10 y = 3, 6 y = 2 x + 9

5 x + 6 y = 20, 3 x + 8 y = 34

x + y - z + t = 6, y + z = 1, z + 2 t = 6, 2 t = 8

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

1 - s = \frac{3}{5} \cdot t, \frac{2}{3} \cdot s = 1 - t

What is 7m+7n=11,27m+6n=108 ?
The solution to 7m+7n=11,27m+6n=108 is m= 230/49 ,n=-153/49