Question

При каком значении a уравнение равносильными 6x-16=2 и 10a-2x=44?пожалуйста помогите дам 10 балов​

Answer 1

6x-16=2

x=18/6=3

10a-2×3=44

a=50/10=5

Answer 2

Ответ:

6x-16=2

6x= 18

x=18/6=3

10a-2×3=44

10a= 50

a=50/10=5

Пошаговое объяснение:

Answer 3

Equivalence of Equations

When two equations are equivalent, it means that they have the same solution set. In other words, if one equation is true, then the other equation is also true, and vice versa.

To find the value of a for which the equations 6x - 16 = 2 and 10a - 2x = 44 are equivalent, we can solve the system of equations and find the value of a that makes the two equations equivalent.

Solving the Equations

Let's start by solving the first equation 6x - 16 = 2 for x: ``` 6x - 16 = 2 6x = 18 x = 3 ``` Now, we can substitute x = 3 into the second equation 10a - 2x = 44 and solve for a: ``` 10a - 2(3) = 44 10a - 6 = 44 10a = 50 a = 5 ``` So, the value of a for which the equations 6x - 16 = 2 and 10a - 2x = 44 are equivalent is a = 5.

Conclusion

Therefore, when a = 5, the equations 6x - 16 = 2 and 10a - 2x = 44 are equivalent, meaning they have the same solution set.