Math, asked by anshul396569, 8 months ago

solve for x : 9.8x - 13.8 = 2.7 - (1/5)x

Answers

Answered by ankita2965
0

Answer:

..x=

20

33

=1.650

Step-by-step explanation:

:

1

Simplify —

5

Equation at the end of step

1

:

98 138 27 1

((——•x)-———)-(——-(—•x)) = 0

10 10 10 5

STEP

2

:

27

Simplify ——

10

Equation at the end of step

2

:

98 138 27 x

((——•x)-———)-(——-—) = 0

10 10 10 5

STEP

3

:

Calculating the Least Common Multiple

3.1 Find the Least Common Multiple

The left denominator is : 10

The right denominator is : 5

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

5 1 1 1

Product of all

Prime Factors 10 5 10

Least Common Multiple:

10

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 = 1

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. 27

—————————————————— = ——

L.C.M 10

R. Mult. • R. Num. x • 2

—————————————————— = —————

L.C.M 10

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:

27 - (x • 2) 27 - 2x

———————————— = ———————

10 10

Equation at the end of step

3

:

98 138 (27 - 2x)

((—— • x) - ———) - ————————— = 0

10 10 10

STEP

4

:

69

Simplify ——

5

Equation at the end of step

4

:

98 69 (27 - 2x)

((—— • x) - ——) - ————————— = 0

10 5 10

STEP

5

:

49

Simplify ——

5

Equation at the end of step

5

:

49 69 (27 - 2x)

((—— • x) - ——) - ————————— = 0

5 5 10

STEP

6

:

Adding fractions which have a common denominator

6.1 Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

49x - (69) 49x - 69

—————————— = ————————

5 5

Equation at the end of step

6

:

(49x - 69) (27 - 2x)

—————————— - ————————— = 0

5 10

STEP

7

:

Calculating the Least Common Multiple

7.1 Find the Least Common Multiple

The left denominator is : 5

The right denominator is : 10

Number of times each prime factor

appears in the factorization of:

Prime

Factor Left

Denominator Right

Denominator L.C.M = Max

{Left,Right}

5 1 1 1

2 0 1 1

Product of all

Prime Factors 5 10 10

Least Common Multiple:

10

Similar questions