What is x/2+y/3 =9, x/5-y/4 =-1 ?

The solution to x/2+y/3 =9, x/5-y/4 =-1 is x=10,y=12

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x/2+y/3 =9, x/5-y/4 =-1

\frac{x}{2} + \frac{y}{3} = 9, \frac{x}{5} - \frac{y}{4} = - 1

x = 10, y = 12

Solution steps

[\frac{x}{2} + \frac{y}{3} = 9 \frac{x}{5} - \frac{y}{4} = - 1]

Isolate

x

for

\frac{x}{2} + \frac{y}{3} = 9 : x = 18 - \frac{2 y}{3}

Substitute

x = 18 - \frac{2 y}{3}

[\frac{18 - \frac{2 y}{3}}{5} - \frac{y}{4} = - 1]

Simplify

[\frac{216 - 23 y}{60} = - 1]

Isolate

y

for

\frac{216 - 23 y}{60} = - 1 : y = 12

For

x = 18 - \frac{2 y}{3}

Substitute

y = 12

x = 18 - \frac{2 \cdot 12}{3}

18 - \frac{2 \cdot 12}{3} = 10

x = 10

The solutions to the system of equations are:

x = 10, y = 12

2 x - 3 y = 8, 3 x + y = - 10

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

3 x + 2 y = 1, 1 x - 4 y = 13

2 x + y = 1, - x + 2 y = 9

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

What is x/2+y/3 =9, x/5-y/4 =-1 ?
The solution to x/2+y/3 =9, x/5-y/4 =-1 is x=10,y=12