Math, asked by alinawang888, 7 months ago

If (9u-11)/2 = (19u+11)/3, what is the value of u?

Answers

Answered by munni07101980
3

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

Answered by Citrusy
0

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:

Hope it helps <3

Brainlist plz mate

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