Find the value of a in the arithmetic operations shown in the table.

Question image

Understand the Problem

The question is asking to determine a value based on the operations shown in the table. Specifically, it appears to be solving for an unknown variable represented with 'a' in a series of arithmetic operations where certain results are already provided.

Answer

The value is 2.
Answer for screen readers

The final answer is 2.

Steps to Solve

  1. Identifying the first equation

From the table, we can see that the first operation is represented as follows: $$ 5 - a = 2 $$

  1. Solving the first equation for 'a'

To isolate $a$, we'll move $a$ to one side and the other terms to the opposite side: $$ 5 - 2 = a $$

  1. Calculating the value of 'a'

Now, we calculate: $$ a = 5 - 2 = 3 $$

  1. Identifying the second equation

The second operation in the table is represented as follows: $$ 3 + a = 4 $$

  1. Solving the second equation for 'a'

Now, we solve for $a$: $$ a = 4 - 3 $$

  1. Calculating the value of 'a'

We calculate: $$ a = 4 - 3 = 1 $$

  1. Identifying the third equation

The third operation in the table is: $$ a + 1 = ? $$

  1. Substituting the value of 'a'

Now we substitute $a = 1$ into the third equation: $$ 1 + 1 = ? $$

  1. Calculating the final result

Now, let’s calculate: $$ ? = 1 + 1 = 2 $$

The final answer is 2.

More Information

This problem involves basic arithmetic operations. By isolating the variable 'a' through each equation, we find the required values step-by-step. The process demonstrates how to solve linear equations by applying arithmetic principles.

Tips

  • Neglecting to properly isolate the variable when solving equations.
  • Mixing up addition and subtraction, which can lead to incorrect results.

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