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Popular >

5m-3n=1,9m-6n=-7

Solution

5 m - 3 n = 1, 9 m - 6 n = - 7

Solution

m = 9, n = \frac{44}{3}

Solution steps

[5 m - 3 n = 1 9 m - 6 n = - 7]

Isolate

m

for

5 m - 3 n = 1 : m = \frac{1 + 3 n}{5}

Substitute

m = \frac{1 + 3 n}{5}

[9 \cdot \frac{1 + 3 n}{5} - 6 n = - 7]

Simplify

[\frac{9 - 3 n}{5} = - 7]

Isolate

n

for

\frac{9 - 3 n}{5} = - 7 : n = \frac{44}{3}

For

m = \frac{1 + 3 n}{5}

Substitute

n = \frac{44}{3}

m = \frac{1 + 3 \cdot \frac{44}{3}}{5}

\frac{1 + 3 \cdot \frac{44}{3}}{5} = 9

m = 9

The solutions to the system of equations are:

m = 9, n = \frac{44}{3}

Popular Examples

2x=3y-14,2y=x+8

2 x = 3 y - 14, 2 y = x + 8

x+2y=17,x-2y=-3

x + 2 y = 17, x - 2 y = - 3

5x+7y=17,3x-7y=10

5 x + 7 y = 17, 3 x - 7 y = 10

1/3*x-1/3*y=-1/3 ,-1/7*x+1/8*y= 2/7

\frac{1}{3} \cdot x - \frac{1}{3} \cdot y = - \frac{1}{3}, - \frac{1}{7} \cdot x + \frac{1}{8} \cdot y = \frac{2}{7}

x+y-2z=8,2x-y+z=3,3x+y+2z=6

x + y - 2 z = 8, 2 x - y + z = 3, 3 x + y + 2 z = 6

Frequently Asked Questions (FAQ)

What is 5m-3n=1,9m-6n=-7 ?
The solution to 5m-3n=1,9m-6n=-7 is m=9,n= 44/3