What is 2 x/3+y=1,3(x-2)-4y=24 ?

The solution to 2 x/3+y=1,3(x-2)-4y=24 is x=6,y=-3

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2 x/3+y=1,3(x-2)-4y=24

2 \frac{x}{3} + y = 1, 3 (x - 2) - 4 y = 24

x = 6, y = - 3

Solution steps

[2 \cdot \frac{x}{3} + y = 1 3 (x - 2) - 4 y = 24]

Isolate

x

for

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

Substitute

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

[3 (\frac{3 - 3 y}{2} - 2) - 4 y = 24]

Simplify

[\frac{9 - 17 y}{2} - 6 = 24]

Isolate

y

for

\frac{9 - 17 y}{2} - 6 = 24 : y = - 3

For

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

Substitute

y = - 3

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

\frac{3 - 3 ( - 3 )}{2} = 6

x = 6

The solutions to the system of equations are:

x = 6, y = - 3

2 x + y = 6, 4 x - y = 12 x

\frac{y}{5} x = 4 y - 9, x = 2

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

- 3 x + 4 y = 9, 5 x + 5 y = 57

15 b + 10 p = 18, 0 b + p = 14

What is 2 x/3+y=1,3(x-2)-4y=24 ?
The solution to 2 x/3+y=1,3(x-2)-4y=24 is x=6,y=-3