Question

Solve the given equations :
B + B = 2
B + C = 5
B + C\[ \times \]2 = ?

Answer 1

Hint:- We had to only find the value of B and C by solving the first equation and then substituting the value of B to the second equation.

Complete step-by-step solution -
As we know that we are given two equations in terms of B and C whose value is given.
B + B = 2 $\to$ (1)
B + C = 5 $\to$ (2)
Now we had to find the value of B and C using equations 1 and 2. After that we can put the value of B and C to the equation B + C\[ \times \]2 .
B + C\[ \times \]2 $\to$ (3)
Now solving equation 1. We get,
2B = 2
Dividing both sides of the above equation by 2. We get,
B = 1
Now putting the value of B in equation 2. We get,
1 + C = 5
Subtracting 1 from both the sides of the above equation. We get,
C = 4
So, now putting the value of B and C in equation 3. We get,
B + C\[ \times \]2 = 1 + 4\[ \times \]2 = 1 + 8 = 9
Hence, the value of the equation B + C\[ \times \]2 will be 9.

Note:- Whenever we come up with this type of problem first, we had to solve the equations whose value is given and find the value of the variables in the equation (here B and C) and after that we had to put the value of the variables in the equation whose value is asked to get the required solution. Like here we solved the first equation to find the value of B and then we substitute the value of B in the second equation to find the value of C. And after that we put the value of B and C in the third equation to get the required answer.