1. The simplified expression is 10x+8y-12.
Combine like terms to simplify the expression.
-6x-12+8y+16x
-6x and 16x are both like terms, so those can be combined.
-6x+16x=10x
10x+8y-12
2. The solution to the equation is x=13.
Solve by adding 17 to both sides of the equation.
-4=-17+x
-4+17=-17+17+x
13=x
Answer:
Step-by-step explanation:
6x+2=9x-1 x=1
6(1)+2=9(1)-1
6+2=9-1
8=8
Hope this helps :)
Answer:
x ≤ 6 and x ≥ 2
Step-by-step explanation:
For now, we will start with doing each problem at a time. Here is your equation:
2x - 4 ≤ 8
First, you want to get the variable by itself. So, you add 4 to both sides. It will look like this:
2x - 4 ≤ 8
+ 4 + 4
The four being added on the left side cancels out, and you add 4 to 8. Now, it should look like this:
2x ≤ 12
Next, you want the x by itself. So, you would divide both sides by 2.
2x ≤ 12
/2 /2
2 divided by 2 cancels out, and 12 divided by 2 equals 6. Now, you have a final answer of:
x ≤ 6
But, you now have to do the other one!
Here is what you start off with:
x + 5 ≥ 7
First, you want the variable side by itself. So, you subtract 5 from both sides.
x + 5 ≥ 7
- 5 -5
Now, you have this:
x ≥ 2
Because the variable is already by itself, you don't need to do any more division and this is you final answer. Now put both answers you got together which equals:
x ≤ 6 and x ≥ 2
For this case we can use the following rule of three:
$ 500 ---------> 100%
$ 400 ---------> x
Clearing x we have:
x = (400/500) * (100) = 80%
Therefore, the percentage of decrease in the rent is:
p = 100-x
p = 100-80
p = 80%
Answer:
a proportion can be used to calculate p is:
p = 100 - ((400/500) * (100))
