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Popular >

4m+6n=54,3m+2n=28

Solution

4 m + 6 n = 54, 3 m + 2 n = 28

Solution

m = 6, n = 5

Solution steps

[4 m + 6 n = 54 3 m + 2 n = 28]

Isolate

m

for

4 m + 6 n = 54 : m = \frac{3 ( - n + 9 )}{2}

Substitute

m = \frac{3 ( - n + 9 )}{2}

[3 \cdot \frac{3 ( - n + 9 )}{2} + 2 n = 28]

Simplify

[\frac{- 5 n + 81}{2} = 28]

Isolate

n

for

\frac{- 5 n + 81}{2} = 28 : n = 5

For

m = \frac{3 ( - n + 9 )}{2}

Substitute

n = 5

m = \frac{3 ( - 5 + 9 )}{2}

\frac{3 ( - 5 + 9 )}{2} = 6

m = 6

The solutions to the system of equations are:

m = 6, n = 5

Popular Examples

10x-9y=2,4y=x-2

10 x - 9 y = 2, 4 y = x - 2

x = - 25, y = - 18

x/(-4)=-2, 5/y =-35/28

\frac{x}{- 4} = - 2, \frac{5}{y} = - \frac{35}{28}

-i+z^2=1,+i-z^3=2+i,z^1=1

- i + z^{2} = 1, + i - z^{3} = 2 + i, z^{1} = 1

x-y=-5,3x+2y=15

x - y = - 5, 3 x + 2 y = 15

Frequently Asked Questions (FAQ)

What is 4m+6n=54,3m+2n=28 ?
The solution to 4m+6n=54,3m+2n=28 is m=6,n=5