How do i solve the following question 2x + 3 = 9
1 answer:
Answer: x = 3
Step-by-step explanation: To solve for <em>x</em> in the equation you see here, our goal is to get <em>x</em> by itself.
Our first step will be to isolate the term containing <em>x</em> which in this case is 2x. To isolate 2x, we have to get rid of this +3 by subtracting from both sides of the equation.
On the left, +3 -3 cancels and we're left with 2x. On the right, 9 - 3 simplifies to 6.
So now we have the equation 2x = 6.
To get <em>x</em> by itself since it's being multiplied by 2, we just to divide by 2 on both sides of the equation. On the left, the 2's cancel and we're left with <em>x</em>. On the right, simplifies to 3 so our answer is <em>x = 3</em>.
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The system of equations is
Step-by-step explanation:
We can answer this question as follows.
First of all, we call:
t = number of treadmills
b = number of stationary bikes
The two conditions that we have can be translated into equations as follows:
- The gym has a total of 25 treadmills and stationary bikes:
- There are seven more stationary bikes than treadmills:
So the system of equations to solve is
We now solve it in the following way: first, we rewrite the second equation by bringing t on the left side,
Now we add the 1st equation to the 2nd equation:
And therefore,
So, there are 16 stationary bikes and 9 treadmills.
Learn more about systems of equations:
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