20/x + 60/2x = 100 explain this with correct answer
Answers
Simplifying
2x + 60 = 100
Reorder the terms:
60 + 2x = 100
Solving
60 + 2x = 100
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-60' to each side of the equation.
60 + -60 + 2x = 100 + -60
Combine like terms: 60 + -60 = 0
0 + 2x = 100 + -60
2x = 100 + -60
Combine like terms: 100 + -60 = 40
2x = 40
Divide each side by '2'.
x = 20
Simplifying
x = 20
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More or less than - questions
2x-2=8 x-3=5 3x+2=18 2x+10=12 6x-2=14 3x=12 4x-2=12 9x-3=6 12+x=5 x+8=13 all equations
Answer: plzz mark my ans as brainliest
Step by step solution :
STEP
1
:
x
Simplify ———
100
Equation at the end of step
1
:
20 x
—— - ——— = 0
60 100
STEP
2
:
1
Simplify —
3
Equation at the end of step
2
:
1 x
— - ——— = 0
3 100
STEP
3
:
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : 3
The right denominator is : 100
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
3 1 0 1
2 0 2 2
5 0 2 2
Product of all
Prime Factors 3 100 300
Least Common Multiple:
300
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 = 100
Right_M = L.C.M / R_Deno = 3
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. 100
—————————————————— = ———
L.C.M 300
R. Mult. • R. Num. x • 3
—————————————————— = —————
L.C.M 300
Adding fractions that have a common denominator :
3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
100 - (x • 3) 100 - 3x
————————————— = ————————
300 300
Equation at the end of step
3
:
100 - 3x
———————— = 0
300
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
100-3x
—————— • 300 = 0 • 300
300
Now, on the left hand side, the 300 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
100-3x = 0
Solving a Single Variable Equation:
4.2 Solve : -3x+100 = 0
Subtract 100 from both sides of the equation :
-3x = -100
Multiply both sides of the equation by (-1) : 3x = 100
Divide both sides of the equation by 3:
x = 100/3 = 33.333
One solution was found :
x = 100/3 = 33.333
Step-by-step explanation: