What is the answer to solvefor a,a(m-3n)=5am+an-4 ?

The answer to solvefor a,a(m-3n)=5am+an-4 is a= 1/(m+n);\quad m\ne-n

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solvefor a,a(m-3n)=5am+an-4

solve for

a, a (m - 3 n) = 5 am + an - 4

a = \frac{1}{m + n}; m \neq = - n

Solution steps

a (m - 3 n) = 5 am + an - 4

Expand

a (m - 3 n) : ma - 3 na

ma - 3 na = 5 am + an - 4

Subtract

5 am + an

from both sides

ma - 3 na - (5 am + an) = 5 am + an - 4 - (5 am + an)

Simplify

- 4 ma - 4 na = - 4

Factor

- 4 ma - 4 na : - 4 a (m + n)

- 4 a (m + n) = - 4

Divide both sides by

- 4 (m + n); m \neq = - n

a = \frac{1}{m + n}; m \neq = - n

x, 6 x - 10 y = 160

- 4 x + 6 (x + 2) = 20

9 = 3 (5 x - 2)

- \frac{2}{9} x - 4 = \frac{7}{18}

5 (x - 1) = - 45

What is the answer to solvefor a,a(m-3n)=5am+an-4 ?
The answer to solvefor a,a(m-3n)=5am+an-4 is a= 1/(m+n);\quad m\ne-n