What is 1/7 x+1/6 y=3, 1/2 x-1/3 y=5 ?

The solution to 1/7 x+1/6 y=3, 1/2 x-1/3 y=5 is x=14,y=6

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1/7 x+1/6 y=3, 1/2 x-1/3 y=5

\frac{1}{7} x + \frac{1}{6} y = 3, \frac{1}{2} x - \frac{1}{3} y = 5

x = 14, y = 6

Solution steps

[\frac{1}{7} x + \frac{1}{6} y = 3 \frac{1}{2} x - \frac{1}{3} y = 5]

Isolate

x

for

\frac{1}{7} x + \frac{1}{6} y = 3 : x = 21 - \frac{7}{6} y

Substitute

x = 21 - \frac{7}{6} y

[\frac{1}{2} (21 - \frac{7}{6} y) - \frac{1}{3} y = 5]

Simplify

[\frac{126 - 11 y}{12} = 5]

Isolate

y

for

\frac{126 - 11 y}{12} = 5 : y = 6

For

x = 21 - \frac{7}{6} y

Substitute

y = 6

x = 21 - \frac{7}{6} \cdot 6

21 - \frac{7}{6} \cdot 6 = 14

x = 14

The solutions to the system of equations are:

x = 14, y = 6

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

x - 4 y = 2, 0.8 - 3 x + 6 y = - 2.4

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

3 x + 4 y = 14, 5 x + 2 y = 14

g (x) = 10 x, g (x) = 15

What is 1/7 x+1/6 y=3, 1/2 x-1/3 y=5 ?
The solution to 1/7 x+1/6 y=3, 1/2 x-1/3 y=5 is x=14,y=6