What is 3m-2n=-2,6m+4n=-20 ?

The solution to 3m-2n=-2,6m+4n=-20 is m=-2,n=-2

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3m-2n=-2,6m+4n=-20

3 m - 2 n = - 2, 6 m + 4 n = - 20

m = - 2, n = - 2

Solution steps

[3 m - 2 n = - 2 6 m + 4 n = - 20]

Isolate

m

for

3 m - 2 n = - 2 : m = \frac{- 2 + 2 n}{3}

Substitute

m = \frac{- 2 + 2 n}{3}

[6 \cdot \frac{- 2 + 2 n}{3} + 4 n = - 20]

Simplify

[8 n - 4 = - 20]

Isolate

n

for

8 n - 4 = - 20 : n = - 2

For

m = \frac{- 2 + 2 n}{3}

Substitute

n = - 2

m = \frac{- 2 + 2 ( - 2 )}{3}

\frac{- 2 + 2 ( - 2 )}{3} = - 2

m = - 2

The solutions to the system of equations are:

m = - 2, n = - 2

2 x + 3 y = 10, 3 x - y = 4

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

x - y = 10, x + y = 12

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

8 x - 2 y = 20, 3 x + 2 y = 13