Find X in the Linear Equation: 7.24x - 3.5 = 6.21

Question

Find the value of the parameter X

7.24x3.5=6.21 7.24x-3.5=6.21

Video Solution

Solution Steps

00:00 Solve
00:03 We want to isolate the unknown X
00:07 Let's arrange the equation so that one side has only the unknown X
00:19 Let's simplify what we can
00:31 Let's isolate the unknown X, and calculate
00:49 Let's simplify what we can
00:55 And this is the solution to the problem

Step-by-Step Solution

To solve the linear equation 7.24x3.5=6.21 7.24x - 3.5 = 6.21 , we will apply the following steps:

  • Step 1: Add 3.5 to both sides of the equation to isolate the term containing x x .
  • Step 2: Perform the addition on the right side to simplify the expression.
  • Step 3: Divide both sides by 7.24 to solve for x x .
  • Step 4: Calculate the division to obtain the value of x x .

Let's execute these steps one by one:

Step 1: Add 3.5 to both sides:

7.24x3.5+3.5=6.21+3.5 7.24x - 3.5 + 3.5 = 6.21 + 3.5

This simplifies to:

7.24x=9.71 7.24x = 9.71

Step 2: Divide both sides by 7.24 to solve for x x :

x=9.717.24 x = \frac{9.71}{7.24}

Step 3: Calculate the division:

x1.34 x \approx 1.34

Therefore, the solution to the problem is x=1.34 x = 1.34 , which corresponds to Choice 3.

Answer

1.34