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Popular >

4m-3n=20,m-6n=12

Solution

4 m - 3 n = 20, m - 6 n = 12

Solution

m = 4, n = - \frac{4}{3}

Solution steps

[4 m - 3 n = 20 m - 6 n = 12]

Isolate

m

for

4 m - 3 n = 20 : m = \frac{20 + 3 n}{4}

Substitute

m = \frac{20 + 3 n}{4}

[\frac{20 + 3 n}{4} - 6 n = 12]

Simplify

[\frac{20 - 21 n}{4} = 12]

Isolate

n

for

\frac{20 - 21 n}{4} = 12 : n = - \frac{4}{3}

For

m = \frac{20 + 3 n}{4}

Substitute

n = - \frac{4}{3}

m = \frac{20 + 3 ( - \frac{4}{3} )}{4}

\frac{20 + 3 ( - \frac{4}{3} )}{4} = 4

m = 4

The solutions to the system of equations are:

m = 4, n = - \frac{4}{3}

Popular Examples

5/((x-1))+1/((y-2))=2, 6/((x-1))-3/((y-2))=1

\frac{5}{( x - 1 )} + \frac{1}{( y - 2 )} = 2, \frac{6}{( x - 1 )} - \frac{3}{( y - 2 )} = 1

x - y = 6, x + y = 12

5x+y=22,3x+y=14

5 x + y = 22, 3 x + y = 14

-8y+9x=5,8y+7x=-75

- 8 y + 9 x = 5, 8 y + 7 x = - 75

x+y+z=18,4x+2y+z=36,6x+5y+4z=36

x + y + z = 18, 4 x + 2 y + z = 36, 6 x + 5 y + 4 z = 36

Frequently Asked Questions (FAQ)

What is 4m-3n=20,m-6n=12 ?
The solution to 4m-3n=20,m-6n=12 is m=4,n=-4/3