What is 5m-5n=12,2m+9n=20 ?

The solution to 5m-5n=12,2m+9n=20 is m= 208/55 ,n= 76/55

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5m-5n=12,2m+9n=20

5 m - 5 n = 12, 2 m + 9 n = 20

m = \frac{208}{55}, n = \frac{76}{55}

Solution steps

[5 m - 5 n = 12 2 m + 9 n = 20]

Isolate

m

for

5 m - 5 n = 12 : m = \frac{12 + 5 n}{5}

Substitute

m = \frac{12 + 5 n}{5}

[2 \cdot \frac{12 + 5 n}{5} + 9 n = 20]

Simplify

[\frac{24 + 55 n}{5} = 20]

Isolate

n

for

\frac{24 + 55 n}{5} = 20 : n = \frac{76}{55}

For

m = \frac{12 + 5 n}{5}

Substitute

n = \frac{76}{55}

m = \frac{12 + 5 \cdot \frac{76}{55}}{5}

\frac{12 + 5 \cdot \frac{76}{55}}{5} = \frac{208}{55}

m = \frac{208}{55}

The solutions to the system of equations are:

m = \frac{208}{55}, n = \frac{76}{55}

3 x - 2 y = 20, 2 x - 2 y = 10

x - y + 1 = 3, x + 2 y - 12 = 0

x - 2 - 4 - 3 - 2235 y = - 2 x - 4, y = 2

2 x - 3 y - 3 = 0, \frac{( 2 x )}{3} + 4 y + \frac{1}{2} = 0

2 x - 3 y = 0, 3 x - 8 y = 0

What is 5m-5n=12,2m+9n=20 ?
The solution to 5m-5n=12,2m+9n=20 is m= 208/55 ,n= 76/55