What is 4m-5n=8,2m+3n=10 ?

The solution to 4m-5n=8,2m+3n=10 is m= 37/11 ,n= 12/11

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4m-5n=8,2m+3n=10

4 m - 5 n = 8, 2 m + 3 n = 10

m = \frac{37}{11}, n = \frac{12}{11}

Solution steps

[4 m - 5 n = 8 2 m + 3 n = 10]

Isolate

m

for

4 m - 5 n = 8 : m = \frac{8 + 5 n}{4}

Substitute

m = \frac{8 + 5 n}{4}

[2 \cdot \frac{8 + 5 n}{4} + 3 n = 10]

Simplify

[\frac{8 + 11 n}{2} = 10]

Isolate

n

for

\frac{8 + 11 n}{2} = 10 : n = \frac{12}{11}

For

m = \frac{8 + 5 n}{4}

Substitute

n = \frac{12}{11}

m = \frac{8 + 5 \cdot \frac{12}{11}}{4}

\frac{8 + 5 \cdot \frac{12}{11}}{4} = \frac{37}{11}

m = \frac{37}{11}

The solutions to the system of equations are:

m = \frac{37}{11}, n = \frac{12}{11}

3 (x - 2 y) + 4 y = 5, 2 x - y = 3

7 x + 2 y = 3, 3 x + 5 y = 22

5 a - 5 b = 1, \frac{4}{5} a + 2 b = - 23

13 x + 12 y = 38, 12 x - 13 y = 38

6 \cdot \frac{7}{( 2 x + 2 y )} = 3, x = 2

What is 4m-5n=8,2m+3n=10 ?
The solution to 4m-5n=8,2m+3n=10 is m= 37/11 ,n= 12/11