Question

1)X+3/12=4/3 2)0,4x-6=0,6x-9 3)x/3+x/4=-21 4)2m/3-4m/5=3 5)4a/9-1=5a/12

Answer 1

Ответ:

Пошаговое объяснение:

1)3/12 - 4/3 = 4/3-1/4= х=13/12

2) X=15

3)X=36

4)m=45/2  = 22.5

5) А= 36

Answer 2

Let's solve each of the equations step by step:

1. X + 3/12 = 4/3

To eliminate the fractions, we can multiply both sides of the equation by the least common multiple (LCM) of the denominators, which is 12.

12 * (X + 3/12) = 12 * (4/3)

Canceling out the denominators:

12X + 3 = 16

Now, isolate the variable X by subtracting 3 from both sides:

12X = 16 - 3 12X = 13

Finally, divide both sides by 12 to solve for X:

X = 13/12

Therefore, X = 13/12.

2. 0.4x - 6 = 0.6x - 9

To eliminate the decimals, we can multiply both sides of the equation by 10.

10 * (0.4x - 6) = 10 * (0.6x - 9)

4x - 60 = 6x - 90

Subtracting 4x from both sides:

-60 = 2x - 90

Adding 90 to both sides:

30 = 2x

Finally, divide both sides by 2 to solve for x:

x = 30/2

Therefore, x = 15.

3. x/3 + x/4 = -21

To eliminate the fractions, we can multiply both sides of the equation by the least common multiple (LCM) of the denominators, which is 12.

12 * (x/3) + 12 * (x/4) = 12 * (-21)

4x + 3x = -252

Combining like terms:

7x = -252

Divide both sides by 7:

x = -252/7

Simplifying the fraction:

x = -36

Therefore, x = -36.

4. 2m/3 - 4m/5 = 3

To eliminate the fractions, we can multiply both sides of the equation by the least common multiple (LCM) of the denominators, which is 15.

15 * (2m/3) - 15 * (4m/5) = 15 * 3

10m - 12m = 45

Subtracting 10m from both sides:

-2m = 45

Divide both sides by -2:

m = 45/-2

Simplifying the fraction:

m = -22.5

Therefore, m = -22.5.

5. 4a/9 - 1 = 5a/12

To eliminate the fractions, we can multiply both sides of the equation by the least common multiple (LCM) of the denominators, which is 36.

36 * (4a/9) - 36 * 1 = 36 * (5a/12)

Canceling out the denominators:

4a * 4 - 36 = 5a * 3

16a - 36 = 15a

Subtracting 15a from both sides:

a - 36 = 0

Adding 36 to both sides:

a = 36

Therefore, a = 36.

To summarize the solutions:

1. X = 13/12
2. x = 15
3. x = -36
4. m = -22.5
5. a = 36