ben is solving the equation 5x - 1 = 19 he says that first he will subtract 1 from both sides, then multiply both sides by 5 explain bens error and solve for the correct answer for x make sure to show work
Ben's error is that he should multiply both sides by 5 first before subtracting 1.
To solve the equation correctly, let's follow the correct order of operations:
5x - 1 = 19
Step 1: Add 1 to both sides of the equation to isolate the variable.
5x - 1 + 1 = 19 + 1
5x = 20
Step 2: Divide both sides by 5 to solve for x.
(5x)/5 = 20/5
x = 4
Therefore, the correct answer is x = 4.
Ben's error lies in the order of operations. According to the order of operations, multiplication and division should be performed before addition and subtraction. So, in solving the equation correctly, we should first add 1 to both sides and then divide both sides by 5. Here is the step-by-step solution:
Given equation: 5x - 1 = 19
Step 1: Add 1 to both sides:
5x - 1 + 1 = 19 + 1
5x = 20
Step 2: Divide both sides by 5:
(5x)/5 = 20/5
x = 4
Therefore, the correct solution for x is x = 4.
Ben's error lies in the incorrect order of operations. When solving an equation, it is important to follow the correct sequence of steps in order to obtain the correct answer.
To solve the equation 5x - 1 = 19 correctly, let's go through the steps:
Step 1: Add 1 to both sides of the equation to isolate the term with the variable.
5x - 1 + 1 = 19 + 1
5x = 20
Step 2: Divide both sides of the equation by 5 to solve for x.
(5x)/5 = 20/5
x = 4
Therefore, the correct solution for the equation 5x - 1 = 19 is x = 4.