I need help on how to solve equations like this
(y-5)/3 =1
I don't quite understand it
objective: get y alone.
1) multiply both sides by 3
y-5=3
add 5 to each side
y=8
(y-5)/3 =1
Multiply both sides by 3
y - 5 = 3
Add 5 to both sides.
y = 8
Thank you, Ms.Sue and Bob! I never really understood how to solve these types of equations
You're welcome.
To solve an equation like (y-5)/3 = 1, you need to isolate the variable "y" on one side of the equation. Here's a step-by-step guide:
Step 1: Distribute (if necessary)
Since there are no parentheses in your equation, you can skip this step.
Step 2: Simplify
Apply any arithmetic operations needed to simplify both sides of the equation. In this case, there's nothing to simplify.
Step 3: Eliminate the Fraction (if applicable)
In this equation, there's a fraction on the left side. To eliminate fractions, you can multiply both sides of the equation by the denominator (in this case, 3) to get rid of the fraction. This step helps you isolate the variable "y."
(y-5)/3 * 3 = 1 * 3
(y-5) = 3
Step 4: Isolate the Variable
To isolate the variable "y," undo any addition or subtraction operations in the equation by performing the opposite operations. In this equation, you can isolate "y" by adding 5 to both sides.
(y-5) + 5 = 3 + 5
y = 8
Step 5: Check Your Answer
Always check your solution by substituting the value of y back into the original equation. In this case, if you replace "y" with 8 in the original equation, both sides of the equation will be equal.
[(8 - 5) / 3] = 1
[3 / 3] = 1
1 = 1
Since both sides of the equation are equal, the solution y = 8 is correct.
Remember to follow these steps whenever you're solving equations.