Question

Based on the lesson, identify the first operation needed to solve the following equation

х- 3 = 11
a.multiplication
b.addition
c.subtraction
d.division

Answer 1

The correct operation needed to solve the equation x - 3 = 11 is addition. So Option B is correct.

Step-by-step explanation:

To determine the first operation required to solve the equation x - 3 = 11, we must isolate the variable x by performing the inverse operation to the one applied to it. In this case, x is being subtracted by 3. The inverse operation of subtraction is addition. Therefore, the initial step involves adding 3 to both sides of the equation to cancel out the subtraction of 3 from x.

x - 3 + 3 = 11 + 3

This simplifies to:

x = 14

By adding 3 to both sides, we isolate the variable x on one side of the equation, and the solution, x = 14, is obtained. It's essential to maintain the balance of the equation by performing the same operation on both sides to ensure accuracy and preserve the equality. In this context, addition serves as the foundational operation, paving the way for further steps in solving the equation.

In conclusion, the correct initial operation is addition, and by adding 3 to both sides, we successfully solve the equation x - 3 = 11, leading to the solution x = 14. This process aligns with fundamental algebraic principles, emphasizing the importance of performing inverse operations to isolate variables and find solutions accurately.

Answer 2

The first operation needed to solve the equation x - 3 = 11 is addition. Thus the correct option is B.

Step-by-step explanation:

In this equation, x - 3 = 11, the term '-3' is subtracted from 'x'. To isolate the variable 'x' and solve for its value, we need to perform the inverse operation of subtraction, which is addition. The first step is to move the constant term '-3' to the other side of the equation by adding it to both sides.

The equation can be written as x - 3 + 3 = 11 + 3. By adding 3 to both sides, we simplify the left side to x (as -3 + 3 = 0), and on the right side, 11 + 3 equals 14. Therefore, x = 14 after performing the addition.

This initial step follows the fundamental principle of equations, where performing the inverse operation to eliminate or isolate a term is crucial to solving for the unknown variable. In this case, starting with addition allows us to move towards finding the value of 'x' by undoing the subtraction applied to it in the original equation.Thus the correct option is B.