If (9u-11)/2 = (19u+11)/3, what is the value of u?
Answers
Answer:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(9*u-11)/2-((19*u+11)/3)=0
Step by step solution :
STEP
1
:
19u + 11
Simplify ————————
3
Equation at the end of step
1
:
(9u - 11) (19u + 11)
————————— - —————————— = 0
2 3
STEP
2
:
9u - 11
Simplify ———————
2
Equation at the end of step
2
:
(9u - 11) (19u + 11)
————————— - —————————— = 0
2 3
STEP
3
:
Calculating the Least Common Multiple
3.1 Find the Least Common Multiple
The left denominator is : 2
The right denominator is : 3
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 1 0 1
3 0 1 1
Product of all
Prime Factors 2 3 6
Least Common Multiple:
6
Calculating Multipliers :
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 3
Right_M = L.C.M / R_Deno = 2
Making Equivalent Fractions :
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. (9u-11) • 3
—————————————————— = ———————————
L.C.M 6
R. Mult. • R. Num. (19u+11) • 2
—————————————————— = ————————————
L.C.M 6
Answer:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(9*u-11)/2-((19*u+11)/3)=0
Step-by-step explanation:
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