Question

- 428. Приведите подобные члены. 1) 3,7а + 12а = 4) 0,1х - 7а + 10,22 + 3x = 2) 17,12x – 7,43x = 5) – 2,9x + 8,16y - 2,5y + 6x = 3) -21,17y + 4,5 + 9,33y = 6) 7а - 2,79y + 3,1а - 3,5 + 6y = помогите пожалуйста разобраться​

Answer 1

Ответ

1)0,1(37+120а)

2)(17,12-7,43)х=9,6х

3)-0,02(592у-225)

4)3,1х-7а+10,22

5)3,1х+5,66у

Answer 2

Problem Analysis

The given problem requires us to simplify expressions by combining like terms. To do this, we need to identify the terms that have the same variables and exponents and then combine them.

Solution

Let's simplify each expression one by one:

1) 3.7a + 12a = To combine like terms, we add the coefficients of the terms with the same variable. In this case, the variable is 'a'. The coefficients are 3.7 and 12. Adding them gives us 15.7. Therefore, the simplified expression is 15.7a.

2) 0.1x - 7a + 10.22 + 3x = Here, we have two variables: 'x' and 'a'. Let's combine the terms with the same variables separately. - For 'x': The coefficients are 0.1 and 3. Adding them gives us 3.1x. - For 'a': The coefficient is -7. Adding it to 10.22 gives us 3.22. Combining these results, the simplified expression is 3.1x - 7a + 3.22.

3) 17.12x - 7.43x = The variable in this expression is 'x'. The coefficients are 17.12 and -7.43. Subtracting them gives us 9.69x. Therefore, the simplified expression is 9.69x.

4) -2.9x + 8.16y - 2.5y + 6x = Here, we have two variables: 'x' and 'y'. Let's combine the terms with the same variables separately. - For 'x': The coefficients are -2.9 and 6. Adding them gives us 3.1x. - For 'y': The coefficients are 8.16 and -2.5. Adding them gives us 5.66y. Combining these results, the simplified expression is 3.1x + 5.66y.

5) -21.17y + 4.5 + 9.33y = The variable in this expression is 'y'. The coefficients are -21.17 and 9.33. Subtracting them gives us -11.84y. Adding 4.5 to it gives us -7.34y. Therefore, the simplified expression is -7.34y + 4.5.

6) 7a - 2.79y + 3.1a - 3.5 + 6y = Here, we have two variables: 'a' and 'y'. Let's combine the terms with the same variables separately. - For 'a': The coefficients are 7 and 3.1. Adding them gives us 10.1a. - For 'y': The coefficients are -2.79 and 6. Adding them gives us 3.21y. Combining these results, the simplified expression is 10.1a + 3.21y - 3.5.

Summary

To summarize, the simplified expressions for the given equations are: 1) 3.7a + 12a = 15.7a 2) 0.1x - 7a + 10.22 + 3x = 3.1x - 7a + 3.22 3) 17.12x - 7.43x = 9.69x 4) -2.9x + 8.16y - 2.5y + 6x = 3.1x + 5.66y 5) -21.17y + 4.5 + 9.33y = -7.34y + 4.5 6) 7a - 2.79y + 3.1a - 3.5 + 6y = 10.1a + 3.21y - 3.5

I hope this helps! Let me know if you have any further questions.