What is 64m-45n=289,45m-64n=365 ?

The solution to 64m-45n=289,45m-64n=365 is m=1,n=-5

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64m-45n=289,45m-64n=365

64 m - 45 n = 289, 45 m - 64 n = 365

m = 1, n = - 5

Solution steps

[64 m - 45 n = 289 45 m - 64 n = 365]

Isolate

m

for

64 m - 45 n = 289 : m = \frac{289 + 45 n}{64}

Substitute

m = \frac{289 + 45 n}{64}

[45 \cdot \frac{289 + 45 n}{64} - 64 n = 365]

Simplify

[\frac{13005 - 2071 n}{64} = 365]

Isolate

n

for

\frac{13005 - 2071 n}{64} = 365 : n = - 5

For

m = \frac{289 + 45 n}{64}

Substitute

n = - 5

m = \frac{289 + 45 ( - 5 )}{64}

\frac{289 + 45 ( - 5 )}{64} = 1

m = 1

The solutions to the system of equations are:

m = 1, n = - 5

x + y = 7, 3 x - 2 y = 11

2 x - 3 y = 1, 7 x + 5 y = - 1

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

y - \frac{15}{( 4 y )} + 1 = 0, y = 0

4 x + 5 y = 5, - 4 x - 10 y = - 7

What is 64m-45n=289,45m-64n=365 ?
The solution to 64m-45n=289,45m-64n=365 is m=1,n=-5