What is 2x+3y=1,24x+6y=24 ?

The solution to 2x+3y=1,24x+6y=24 is x= 11/10 ,y=-2/5

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2x+3y=1,24x+6y=24

2 x + 3 y = 1, 24 x + 6 y = 24

x = \frac{11}{10}, y = - \frac{2}{5}

Solution steps

[2 x + 3 y = 1 24 x + 6 y = 24]

Isolate

x

for

2 x + 3 y = 1 : x = \frac{1 - 3 y}{2}

Substitute

x = \frac{1 - 3 y}{2}

[24 \cdot \frac{1 - 3 y}{2} + 6 y = 24]

Simplify

[- 30 y + 12 = 24]

Isolate

y

for

- 30 y + 12 = 24 : y = - \frac{2}{5}

For

x = \frac{1 - 3 y}{2}

Substitute

y = - \frac{2}{5}

x = \frac{1 - 3 ( - \frac{2}{5} )}{2}

\frac{1 - 3 ( - \frac{2}{5} )}{2} = \frac{11}{10}

x = \frac{11}{10}

The solutions to the system of equations are:

x = \frac{11}{10}, y = - \frac{2}{5}

3 x + 5 y = 19, 4 x - 2 y = - 18

2 x - y + 2 = 4, x + y - 5 = 0

4 x + 2 y = 46, 6 y + 2 x = 530

2 x + y = 17, 8 x - y = 83

7 x - 9 \frac{y}{2} - 2 x + \frac{4}{2} = - 15, 5 (x - 1 + y) = 25

What is 2x+3y=1,24x+6y=24 ?
The solution to 2x+3y=1,24x+6y=24 is x= 11/10 ,y=-2/5