Question

How can you use a Computer Algebra System to solve, apply the opposite operations, and then check each solution for the following equations?

A) a + 3 = 5
B) a - 6 = 7
C) 3m + 5 = 11
D) -4b + 3 = -1

Answer 1

A Computer Algebra System (CAS) can be used to solve and check solutions for equations. Here's how you can use a CAS to solve, apply opposite operations, and check each solution for the given equations.

Step-by-step explanation:

A Computer Algebra System (CAS) can be used to solve and check solutions for equations.

Here's how you can use a CAS to solve, apply opposite operations, and check each solution for the given equations:

A) To solve the equation a + 3 = 5 using a CAS, you can input the equation into the software and it will give you the value of a as 2.

B) For the equation a - 6 = 7, the CAS will determine that the value of a is 13.

C) Using the CAS with the equation 3m + 5 = 11 will result in m being equal to 2.

D) Lastly, the CAS will solve the equation -4b + 3 = -1 and find that b is equal to 1.

After solving using the CAS, you can apply the opposite operations to check the solutions.

For example, for equation A, if we substitute the value of a (2) back into the equation, we get 2 + 3 = 5, which holds true.

Similarly, you can apply the opposite operations and check the solutions for the other equations.