Greetings!
"<span>What is the general process for solving an equation with one variable?"...
Typically when solving an equation with one variable, your objective is to
isolate the variable on one side of the equation. This can be done adding/subtracting number to cancel them out on one side. You can also multiply/divide coefficients in order to isolate a variable.
Example:</span>
<span>Add
-4 to both sides to isolate the variable.
</span>
<span>
Simplify.
</span>
Divide both sides by
2 to isolate the variable on one side.
Hope this helps.
-Benjamin
Answer:
1. =2
2. times 2
3. b.
Step-by-step explanation:
Answer:
<u>Part 1:</u>
For Platinum Gym:
90 + 30x
For Super Fit Gym:
200 + 20x
<u>Part 2:</u> $270
<u>Part 3:</u> $320
<u>Part 4:</u> 11 months
<u>Part 5:</u> See explanation below
Step-by-step explanation:
<u>Part 1:</u>
Let "x" be the number of months:
For Platinum Gym:
90 + 30x
For Super Fit Gym:
200 + 20x
<u>Part 2:</u>
We put x = 6 in platinum gym's equation and get our answer.
90 + 30x
90 + 30(6)
90 + 180
=$270
<u>Part 3:</u>
We put x = 6 into super fit's equation and get our answer.
200 + 20x
200 + 20(6)
200 + 120
=$320
<u>Part 4:</u>
To find the number of months for both gyms to cost same, we need to equate both equations and solve for x:
90 + 30x = 200 + 20x
10x = 110
x = 11
So 11 months
<u>Part 5:</u>
We know for 11 months, they will cost same. Let's check for 10 months and 12 months.
In 10 months:
Platinum = 90 + 30(10) = 390
Super Fit = 200 + 20(10) = 400
In 12 months:
Platinum = 90 + 30(12) = 450
Super Fit = 200 + 20(12) = 440
Thus, we can see that Platinum Gym is a better deal if you want to get membership for months less than 11 and Super Fit is a better deal if you want to get membership for months greater than 11.