What is 4m-2n=-6,4m+3n=16 ?

The solution to 4m-2n=-6,4m+3n=16 is m= 7/10 ,n= 22/5

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4m-2n=-6,4m+3n=16

4 m - 2 n = - 6, 4 m + 3 n = 16

m = \frac{7}{10}, n = \frac{22}{5}

Solution steps

[4 m - 2 n = - 6 4 m + 3 n = 16]

Isolate

m

for

4 m - 2 n = - 6 : m = \frac{- 3 + n}{2}

Substitute

m = \frac{- 3 + n}{2}

[4 \cdot \frac{- 3 + n}{2} + 3 n = 16]

Simplify

[5 n - 6 = 16]

Isolate

n

for

5 n - 6 = 16 : n = \frac{22}{5}

For

m = \frac{- 3 + n}{2}

Substitute

n = \frac{22}{5}

m = \frac{- 3 + \frac{22}{5}}{2}

\frac{- 3 + \frac{22}{5}}{2} = \frac{7}{10}

m = \frac{7}{10}

The solutions to the system of equations are:

m = \frac{7}{10}, n = \frac{22}{5}

x + y + 2 z = 9, x + y + z = 2, x + 2 y + z = 5

3 x + 4 y = 11, 5 x - 3 y = - 1

a + c = 5 c, a = 3

x - 7 a = 7, y = 9

(e) y = x + 1, x = 3

What is 4m-2n=-6,4m+3n=16 ?
The solution to 4m-2n=-6,4m+3n=16 is m= 7/10 ,n= 22/5