Question

При каком значении а уравнения будут равносильными: 3х – 9 = 3 и х + 3а = – 10? ДАЮ 50 БАЛЛОВ, СРОЧНО​

Answer 1

Ответ:

-14/3

Пошаговое объяснение:

3x-9=3

3x=3+9

3x=12

x=4

Подставляем во 2 выражение

4+3а=-10

3а=-10-4

3а=-14

а=-14/3

Answer 2

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Answer 3

Equivalence of Equations

Two equations are equivalent if they have the same solution set. In other words, they represent the same line or curve on a graph.

The given equations are: 1. 3x – 9 = 3 2. x + 3a = -10

To determine when these equations are equivalent, we need to find the values of 'x' and 'a' that satisfy both equations simultaneously.

Let's start by solving the first equation.

Solving Equation 1: 3x – 9 = 3

To solve for 'x' in the first equation, we can add 9 to both sides of the equation and then divide by 3.

Adding 9 to both sides: 3x = 3 + 9 3x = 12

Dividing by 3: x = 12 / 3 x = 4

Now, let's move on to the second equation.

Solving Equation 2: x + 3a = -10

To solve for 'a' in the second equation, we can isolate '3a' by subtracting 'x' from both sides and then divide by 3.

Subtracting 'x' from both sides: 3a = -10 - x

Dividing by 3: a = (-10 - x) / 3

We already know that x = 4 from solving the first equation, so substituting this value into the second equation: a = (-10 - 4) / 3 a = -14 / 3 a = -14/3

Conclusion

The values of 'x' and 'a' that make the two equations equivalent are: - x = 4 - a = -14/3

Therefore, when x = 4 and a = -14/3, the two equations 3x – 9 = 3 and x + 3a = -10 are equivalent.