Linear equations with constants in denominators.
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Linear equations with constants in denominators. Solve each equation.
18.) x/5 = x/6 +1
20.) x/5 - ½ = x/6
22.) x/2 = 3x/4 +5
24.) 2x - 2x/7 = x/2 + 17/2
26.) x + ¼ = 1/6 + 2-x/ 3
28.) 5 + x-2/ 3 + x + 3/8
30.) 3x/ 5 - x-3/ 2 = x+2/ 3
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Solution Summary
Linear equations with constants in denominators are examined. Seven functions are examined.
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Linear equations with constants in denominators. Solve each equation.
General method to solve an equation with different denominator -
Find the LCM of the denominators and then perform the addition.
18.) x/5 = x/6 +1
Answer -
The equation can be rewritten as -
Now taking the LCM of 5 and 6 we get the LCM to be 30.
Performing the operation on the left hand side now -
Cross multiplying we get -
x = 30.
19.) x/5 - ½ = x/6
Answer -
Rewriting the equation we have -
Now taking the LCM of 5 and 6 we get the LCM to be 30.
Performing the operation on the left hand side now -
Cross multiplying ...
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