What is x/2+y/3 =2, x/3+y/9 =1 ?

The solution to x/2+y/3 =2, x/3+y/9 =1 is x=2,y=3

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x/2+y/3 =2, x/3+y/9 =1

\frac{x}{2} + \frac{y}{3} = 2, \frac{x}{3} + \frac{y}{9} = 1

x = 2, y = 3

Solution steps

[\frac{x}{2} + \frac{y}{3} = 2 \frac{x}{3} + \frac{y}{9} = 1]

Isolate

x

for

\frac{x}{2} + \frac{y}{3} = 2 : x = 4 - \frac{2 y}{3}

Substitute

x = 4 - \frac{2 y}{3}

[\frac{4 - \frac{2 y}{3}}{3} + \frac{y}{9} = 1]

Simplify

[\frac{12 - y}{9} = 1]

Isolate

y

for

\frac{12 - y}{9} = 1 : y = 3

For

x = 4 - \frac{2 y}{3}

Substitute

y = 3

x = 4 - \frac{2 \cdot 3}{3}

4 - \frac{2 \cdot 3}{3} = 2

x = 2

The solutions to the system of equations are:

x = 2, y = 3

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

b = - \frac{23}{3}, a = 0

x + y = 1, 1 x - y = - 1

5 x + 3 y = 41, 2 x + 3 y = 20

\frac{1}{x} - \frac{1}{( y - 2 )} = - 1, \frac{d}{x} + \frac{3}{( y - 2 )} = 5

What is x/2+y/3 =2, x/3+y/9 =1 ?
The solution to x/2+y/3 =2, x/3+y/9 =1 is x=2,y=3