Question

A binary operation * in the set R of real numbers is defined by b*c = 3b - 2c. Find the value of x is 2 * x =5

Answer 1

To find the value of x when 2 * x = 5 using the binary operation b*c = 3b - 2c, we substitute the known values into the operation to get 5 = 6 - 2x. Solving for x, we find that x = 0.5.

Step-by-step explanation:

The question regards solving for x in the context of a custom binary operation defined for the set R of real numbers. To find the value of x when 2 * x = 5, we use the definition of the operation b*c = 3b - 2c. Here, b is 2 and the result of the operation is 5.

Replacing the known values into the equation, we obtain 5 = 3(2) - 2x. This simplifies to 5 = 6 - 2x. To find x, we can rearrange and solve the equation for x:

1. 5 = 6 - 2x
2. Subtract 6 from both sides: -1 = -2x
3. Divide both sides by -2 to isolate x: x = 0.5