using inverse operations to solve y/2 + 22 = 28 show all steps for getting the variable by itself then check your answer by plugging it back into the original equations
To solve for y in the equation y/2 + 22 = 28, we need to get rid of the constant term 22 and the coefficient 1/2 attached to y. Here are the steps to follow:
1. Subtract 22 from both sides of the equation:
y/2 + 22 - 22 = 28 - 22
y/2 = 6
2. To eliminate the coefficient 1/2 attached to y, we can multiply both sides of the equation by its multiplicative inverse (2/1 or simply 2):
2/1 * (y/2) = 2/1 * 6
(2/2)y = 12
y = 12
To check our solution, we substitute y = 12 back into the original equation y/2 + 22 = 28:
12/2 + 22 = 28
6 + 22 = 28
28 = 28
The equation remains true when we substitute y = 12, which means our solution is correct.
To solve the equation y/2 + 22 = 28 using inverse operations, here are the step-by-step instructions:
Step 1: Begin with the equation: y/2 + 22 = 28.
Step 2: Subtract 22 from both sides of the equation to isolate the term with y: y/2 = 28 - 22.
Step 3: Simplify the equation: y/2 = 6.
Step 4: To get the variable y by itself, multiply both sides of the equation by 2: (2) * (y/2) = 6 * 2.
Step 5: Simplify the equation: y = 12.
Now, let's verify the solution by plugging it back into the original equation:
Original equation: y/2 + 22 = 28.
Plugging in y = 12, we get: (12)/2 + 22 = 28.
Simplifying the equation: 6 + 22 = 28.
This equation is true, as 6 + 22 does indeed equal 28.
Thus, the solution y = 12 is verified.
To solve the equation y/2 + 22 = 28 using inverse operations, we need to isolate the variable y. Here are the steps to solve it:
Step 1: Subtract 22 from both sides of the equation to remove the constant term on the left side:
y/2 + 22 - 22 = 28 - 22
y/2 = 6
Step 2: To get y by itself, we need to multiply both sides by 2 (the inverse operation of dividing by 2), since y is divided by 2:
(y/2) * 2 = 6 * 2
y = 12
Therefore, by applying inverse operations, we find that y = 12.
To check our answer, we can substitute the value of y back into the original equation and verify if both sides are equal:
Original equation: y/2 + 22 = 28
Substituting y = 12:
12/2 + 22 = 28
6 + 22 = 28
28 = 28
Since both sides of the equation are equal, our answer is correct.
Therefore, the solution to the equation y/2 + 22 = 28 is y = 12.