What is 3-2(3x+4y)=x,((x-3))/4-((y-4))/5 = 21/10 ?

The solution to 3-2(3x+4y)=x,((x-3))/4-((y-4))/5 = 21/10 is x=5,y=-4

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3-2(3x+4y)=x,((x-3))/4-((y-4))/5 = 21/10

3 - 2 (3 x + 4 y) = x, \frac{( x - 3 )}{4} - \frac{( y - 4 )}{5} = \frac{21}{10}

x = 5, y = - 4

Solution steps

[3 - 2 (3 x + 4 y) = x \frac{( x - 3 )}{4} - \frac{( y - 4 )}{5} = \frac{21}{10}]

Isolate

x

for

\frac{( x - 3 )}{4} - \frac{( y - 4 )}{5} = \frac{21}{10} : x = \frac{4 y + 26}{5} + 3

Substitute

x = \frac{4 y + 26}{5} + 3

[3 - 2 (3 (\frac{4 y + 26}{5} + 3) + 4 y) = (\frac{4 y + 26}{5} + 3)]

Simplify

[- \frac{2 ( 32 y + 78 )}{5} - 15 = \frac{4 y + 26}{5} + 3]

Isolate

y

for

- \frac{2 ( 32 y + 78 )}{5} - 15 = \frac{4 y + 26}{5} + 3 : y = - 4

For

x = \frac{4 y + 26}{5} + 3

Substitute

y = - 4

x = \frac{4 ( - 4 ) + 26}{5} + 3

\frac{4 ( - 4 ) + 26}{5} + 3 = 5

x = 5

The solutions to the system of equations are:

x = 5, y = - 4

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

x + y - 4 = 2, x - 3 y + 6 = 3 x - 4 y + 7

99 x + 101 y = 49, 9101 x + 99 y = 501

5 m - 3 n = 1, 9 m - 6 n = - 7

2 x = 3 y - 14, 2 y = x + 8

What is 3-2(3x+4y)=x,((x-3))/4-((y-4))/5 = 21/10 ?
The solution to 3-2(3x+4y)=x,((x-3))/4-((y-4))/5 = 21/10 is x=5,y=-4