The quotient of a number and four increased by two is twenty-four.
Need to create and solve the following two-step equations
(x/4) + 2 = 24
x/4 = 22
x = 88
the quotientt of a number and -9 increased by 10 is 11
To create and solve the given two-step equation, follow these steps:
Step 1: Identify the variable:
Let's assume the unknown number as 'x'.
Step 2: Translate the first phrase of the problem into an equation:
"The quotient of a number and four increased by two" can be written as:
(x/4) + 2
Step 3: Translate the second phrase of the problem into an equation:
The second phrase states that the result of the previous step is equal to 24:
(x/4) + 2 = 24
Step 4: Isolate the variable:
To solve the equation, we need to isolate the variable 'x' on one side. We'll start by subtracting 2 from both sides:
(x/4) + 2 - 2 = 24 - 2
(x/4) = 22
Step 5: Solve for the variable:
To isolate 'x', we'll multiply both sides of the equation by 4:
4 * (x/4) = 22 * 4
x = 88
Step 6: Check the solution:
Now, substitute the value of 'x' back into the original equation to verify the solution:
(88/4) + 2 = 22 + 2
22 + 2 = 24
Therefore, the solution to the equation is x = 88.