Can I also get some help with this two step equation as well?
3/2x - 4 = 16
I don't quite understand two-step equations that has fractions
THIS HAS BEEN SOLVED
3 / 2 x - 4 = 16
Add 4 to both sides
3 / 2 x = 20
Multiply both sides by 2
3 x = 40
Divide both sides by 3
x = 40 / 3
Of course! I'd be happy to help you with this two-step equation that involves fractions.
To solve this equation, we will follow two steps: isolating the variable with the fraction and then isolating the variable itself.
Step 1: Isolate the variable with the fraction.
In this equation, we want to isolate the term with the variable, which is (3/2)x. To do this, we need to get rid of the constant term, which is -4. We can achieve this by adding 4 to both sides of the equation:
(3/2)x - 4 + 4 = 16 + 4.
On the left side of the equation, the -4 and +4 will cancel each other out, leaving us with:
(3/2)x = 20.
Step 2: Isolate the variable.
In this step, we want to get rid of the coefficient that is multiplying the variable, which is 3/2. To do this, we multiply both sides of the equation by the reciprocal of 3/2, which is 2/3:
(2/3) * (3/2)x = (2/3) * 20.
On the left side of the equation, the (3/2)x and (2/3) will cancel each other out, leaving us with:
x = (2/3) * 20.
Simplifying further:
x = 40/3.
Therefore, the solution to the equation 3/2x - 4 = 16 is x = 40/3.
I hope this explanation helps you understand how to solve two-step equations with fractions!