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Solving Equations ax = b and (x/a) = b by Rearranging Terms

1 / 5 x+1 / 6...

Question

1/5x+1/6y=12

1/3x-3/7y=8

solve thé following

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Solution

1/5x+1/6y=12
taking lcm of 5&6 which equals to 30
6x+5y=12×30
6x+5y=360..........(1)
for equation second
1/3x-3/7y=8
taking lcm of 3&7which equals to 21
7x-9y=8×21
7x-9y=168.......(2
by using equation 1
x=360-5y/6
putting the value of x in 2
7(360-5y)/6-9y=168
2520-35y/6-9y=168
2520-35y-54y=168*6
2520-89y=1008
3528=89y
y=3528/89
y=39.64
by equation first
x=29.96

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Similar questions

Solve the following systems of equations:

$\frac{1}{5 x} + \frac{1}{6 y} = 12$

$\frac{1}{3 x} - \frac{3}{7 y} = 8$

Q. Solve the following systems of equations:

\frac{1}{5 x} + \frac{1}{6 y} = 12

\frac{1}{3 x} - \frac{3}{7 y} = 8, x \neq 0, y \neq 0

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