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Popular >

5m-3n=19,m-6n=-7

Solution

5 m - 3 n = 19, m - 6 n = - 7

Solution

m = 5, n = 2

Solution steps

[5 m - 3 n = 19 m - 6 n = - 7]

Isolate

m

for

5 m - 3 n = 19 : m = \frac{19 + 3 n}{5}

Substitute

m = \frac{19 + 3 n}{5}

[\frac{19 + 3 n}{5} - 6 n = - 7]

Simplify

[\frac{19 - 27 n}{5} = - 7]

Isolate

n

for

\frac{19 - 27 n}{5} = - 7 : n = 2

For

m = \frac{19 + 3 n}{5}

Substitute

n = 2

m = \frac{19 + 3 \cdot 2}{5}

\frac{19 + 3 \cdot 2}{5} = 5

m = 5

The solutions to the system of equations are:

m = 5, n = 2

Popular Examples

x + y = 7, 2 x - y = - 1

x-4=4,(y+2)3(x-2)+2y=20

x - 4 = 4, (y + 2) 3 (x - 2) + 2 y = 20

+ y x + y = 6, x = 2

x/3-4/y =2, x/4+6/y =6

\frac{x}{3} - \frac{4}{y} = 2, \frac{x}{4} + \frac{6}{y} = 6

3a-2b=0,-19-9b=-65

3 a - 2 b = 0, - 19 - 9 b = - 65

Frequently Asked Questions (FAQ)

What is 5m-3n=19,m-6n=-7 ?
The solution to 5m-3n=19,m-6n=-7 is m=5,n=2