What is 2(m+n)+m=9,3m-3n=24 ?

The solution to 2(m+n)+m=9,3m-3n=24 is m=5,n=-3

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2(m+n)+m=9,3m-3n=24

2 (m + n) + m = 9, 3 m - 3 n = 24

m = 5, n = - 3

Solution steps

[2 (m + n) + m = 9 3 m - 3 n = 24]

Isolate

m

for

3 m - 3 n = 24 : m = 8 + n

Substitute

m = 8 + n

[2 (8 + n + n) + 8 + n = 9]

Simplify

[5 n + 24 = 9]

Isolate

n

for

5 n + 24 = 9 : n = - 3

For

m = 8 + n

Substitute

n = - 3

m = 8 - 3

Simplify

m = 5

The solutions to the system of equations are:

m = 5, n = - 3

y + 52 x - 6 y = 8, x = 3

4 x - y + 5 z = - 6, 3 x + 3 y - 4 z = 30, 6 x + 2 y - 3 z = 33

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

3 x = 3, 46 = x + 108

- 6 x + 3 y = 1, 8 - 5 x - 2 y = - 3