Question

7х-11=10х+16 2 целых 1/3х+2 целых 5/12=1 целая 1/4+3 целых 2/9х 3/7-1/4х=5 целых 3/7-1/4

Answer 1

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Answer 2

7х-10х=16+11
3х=27
х=9                                                                                                                            7/3х-29/9х =7/4-29/12
 8/9х=8/12
х=8/12*9/8
х=3/4                                                                                                                         1/4х+4х=38/7-3/7

 15/4х=5
  х=5*4/15
  х=4/3
  х=1 цел 1/3

Answer 3

To solve the equations provided, we'll take them one by one:

1. 7x - 11 = 10x + 16

To solve for x, we need to get all the x terms on one side of the equation and the constants on the other side:

7x - 10x = 16 + 11 -3x = 27

Now, divide both sides by -3 to isolate x:

x = 27 / -3 x = -9

So, the solution for the first equation is x = -9.

2. 2 1/3x + 2 5/12 = 1 1/4 + 3 2/9x

To solve for x, first convert the mixed numbers into improper fractions:

2 1/3 = 7/3 2 5/12 = 29/12 1 1/4 = 5/4 3 2/9 = 29/9

Now, the equation becomes:

7/3x + 29/12 = 5/4 + 29/9

To combine the fractions, find a common denominator, which is 36:

(7/3)x + 29/12 = (45/36) + (116/36)

Now, simplify:

(7/3)x + 29/12 = 161/36

To get rid of the fraction in front of x, multiply both sides by 3:

7x + (3 * 29)/12 = (3 * 161)/36

7x + 87/12 = 483/36

Now, to isolate x, subtract 87/12 from both sides:

7x = (483/36) - (87/12)

Convert both fractions to have a common denominator of 36:

7x = (483 - 261) / 36

7x = 222 / 36

Now, divide by 7 to get the value of x:

x = 222 / 36 x = 37/6

So, the solution for the second equation is x = 37/6 or approximately 6.17.

3. 3/7 - 1/4x = 5 3/7 - 1/4

To solve for x, first convert the mixed numbers into improper fractions:

5 3/7 = 38/7

Now, the equation becomes:

3/7 - (1/4)x = 38/7 - 1/4

To get rid of the fraction in front of x, multiply both sides by 4:

4 * (3/7) - 4 * (1/4)x = 4 * (38/7) - 4 * (1/4)

Simplify:

12/7 - x = 152/7 - 1

To isolate x, subtract 12/7 from both sides:

-x = 152/7 - 12/7 + 1

-x = 152/7 - 12/7 + 7/7

-x = (152 - 12 + 7)/7

-x = 147/7

Now, multiply both sides by -1 to solve for x:

x = -147/7

So, the solution for the third equation is x = -147/7 or approximately -21.