Question

решите уравнения: а)(3х+5х)*18=144 б)(7у-3у):8=17 в)(6а+а):13=14 г)48:(9б-б)=2

Answer 1

а)(3х+5х)*18=144

8х=144/18

8х=8

х=8/8

х=1

 

   

б)(7у-3у):8=17

4у=17*8

4у=136

у=136/4

у=34

 

 

 

  

в)(6а+а):13=14

7а=14*13

7а=182

а=182/7

а=26

 

  

 г)48:(9б-б)=2

48/8б=2

8б=48/2

8б=24

б=24/8

б=3

 

 

 

 

 

 

 

 

 

 

Answer 2

а) (34+5х)*18=144

8х*18=144

8х=144/18

8х=8

х=8/8

х=1

 

б) (7у-3у)/8=17

4у=17*8

4у=136

у=136/4=34

 

в) (6а+а)/13=14

7а=14*13

а=182/7=26

 

г) 48/(9б-б)=2

48/8б=2

48/2=8б

24=8б

б=24/8=3

Answer 3

а) (3х + 5х) * 18 = 144

To solve this equation, we can simplify the expression inside the parentheses first:

3х + 5х = 8х

Now we can rewrite the equation as:

8х * 18 = 144

To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 8:

(8х * 18) / 8 = 144 / 8

Canceling out the 8 on the left side gives us:

18х = 144 / 8

Simplifying the right side gives us:

18х = 18

Finally, to solve for x, we divide both sides of the equation by 18:

(18х) / 18 = 18 / 18

This simplifies to:

х = 1

Therefore, the solution to the equation (3х + 5х) * 18 = 144 is x = 1.

б) (7у - 3у) / 8 = 17

Similarly, let's simplify the expression inside the parentheses first:

7у - 3у = 4у

Now we can rewrite the equation as:

4у / 8 = 17

To solve for у, we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by 8:

(4у / 8) * 8 = 17 * 8

Canceling out the 8 on the left side gives us:

4у = 17 * 8

Simplifying the right side gives us:

4у = 136

Finally, to solve for у, we divide both sides of the equation by 4:

(4у) / 4 = 136 / 4

This simplifies to:

у = 34

Therefore, the solution to the equation (7у - 3у) / 8 = 17 is у = 34.

в) (6а + а) / 13 = 14

Let's simplify the expression inside the parentheses first:

6а + а = 7а

Now we can rewrite the equation as:

7а / 13 = 14

To solve for а, we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by 13:

(7а / 13) * 13 = 14 * 13

Canceling out the 13 on the left side gives us:

7а = 14 * 13

Simplifying the right side gives us:

7а = 182

Finally, to solve for а, we divide both sides of the equation by 7:

(7а) / 7 = 182 / 7

This simplifies to:

а = 26

Therefore, the solution to the equation (6а + а) / 13 = 14 is а = 26.

г) 48 / (9б - б) = 2

Let's simplify the expression inside the parentheses first:

9б - б = 8б

Now we can rewrite the equation as:

48 / 8б = 2

To solve for б, we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by 8б:

(48 / 8б) * 8б = 2 * 8б

Canceling out the 8б on the left side gives us:

48 = 2 * 8б

Simplifying the right side gives us:

48 = 16б

Finally, to solve for б, we divide both sides of the equation by 16:

48 / 16 = 16б / 16

This simplifies to:

3 = б

Therefore, the solution to the equation 48 / (9б - б) = 2 is б = 3.