Answer:
Step-by-step explanation:
The most important thing to remember when solving equations is whatever you do to one side, you must do to the other.
1. (15m + 3)/2 = -6
First, we can simplify by removing the fraction:
15m + 3 = -6 x 2 (multiply both sides by 2)
15m + 3 = -12
15m = -12 - 3 (subtract by 3 on both sides)
15m = -15
m = -15/15 (divide by 15 on both sides)
m = -1
2. 3/2x -15 = -12
first, we'll add both sides by 15
2/3x = -12 + 15
2/3x = 3
x = 3/(2/3) both sides divided by 2/3, just put that in your calculator, if you can't do it in your head
x = 4 1/2
3. -7x + 3 = -15/2
We can remove the fraction by doing the same thing as in the first question.
2(-7x + 3) = -15
-14x + 6 = -15
14x = -15 -6
14x = -21
x = -21/14
x = -1 1/2
4. 4x + 1/2(12x + 2) = 3
First we need to simplify by expanding:
4x + 6x + 1 = 3
Now we collect the like terms to further simplify the equation
10x + 1 = 3
10x = 3 - 1
10x = 2
x = 2/10
x = 1/5
5. 3/2(x + 8) = 6x
We're going to start by removing the brackets, this time by multiplying the fraction on both sides:
x + 8 = 6x / (3/2)
x + 8 = 4
x = 4 - 8
x = -4
Now the questions, some of them are personal, so I won't be able to answer them for you, but I can try with the others:
These types of problems are fractional equations, and you need to find the value of the variable, which in this case was x.
I'm not sure what information you already know, so you'll have to think on that one.
Strategies you could use or try include multiplying, dividing, subtracting and adding on both sides as well as collecting like terms and expanding.
Hope this helped,
Cate
