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Popular >

7m+13n=27,13m+7n=33

Solution

7 m + 13 n = 27, 13 m + 7 n = 33

Solution

m = 2, n = 1

Solution steps

[7 m + 13 n = 27 13 m + 7 n = 33]

Isolate

m

for

7 m + 13 n = 27 : m = \frac{27 - 13 n}{7}

Substitute

m = \frac{27 - 13 n}{7}

[13 \cdot \frac{27 - 13 n}{7} + 7 n = 33]

Simplify

[\frac{351 - 120 n}{7} = 33]

Isolate

n

for

\frac{351 - 120 n}{7} = 33 : n = 1

For

m = \frac{27 - 13 n}{7}

Substitute

n = 1

m = \frac{27 - 13 \cdot 1}{7}

\frac{27 - 13 \cdot 1}{7} = 2

m = 2

The solutions to the system of equations are:

m = 2, n = 1

Popular Examples

5x+7y=-1,-3x+4y=-24

5 x + 7 y = - 1, - 3 x + 4 y = - 24

2 x - 3 y = 5, x + y = 10

x + y = 9, 2 x - 3 y = - 7

2x+y=10,3x+4y=25

2 x + y = 10, 3 x + 4 y = 25

5x+9y=51,8x+9y=22

5 x + 9 y = 51, 8 x + 9 y = 22

Frequently Asked Questions (FAQ)

What is 7m+13n=27,13m+7n=33 ?
The solution to 7m+13n=27,13m+7n=33 is m=2,n=1