How to solve algebra equation x+y=15 and x-y=10
There are a couple of ways to solve this system of equations:
**Method 1: Elimination**
1. **Notice that the 'y' terms have opposite signs.** This is perfect for elimination.
2. **Add the two equations together:**
(x + y) + (x - y) = 15 + 10
2x = 25
3. **Solve for x:**
x = 25 / 2
x = 12.5
4. **Substitute the value of x back into either of the original equations to solve for y.** Let's use the first equation (x + y = 15):
12.5 + y = 15
y = 15 - 12.5
y = 2.5
**Therefore, the solution is x = 12.5 and y = 2.5**
**Method 2: Substitution**
1. **Solve one of the equations for one of the variables.** Let's solve the first equation (x + y = 15) for x:
x = 15 - y
2. **Substitute this expression for x into the other equation (x - y = 10):**
(15 - y) - y = 10
3. **Simplify and solve for y:**
15 - 2y = 10
-2y = -5
y = 2.5
4. **Substitute the value of y back into either of the original equations or the expression for x to solve for x.** Let's use x = 15 - y:
x = 15 - 2.5
x = 12.5
**Therefore, the solution is x = 12.5 and y = 2.5**
**In summary:**
* **x = 12.5**
* **y = 2.5**
How to solve algebra equation x+y=15 and x-y=10
I already provided a complete and correct solution to the system of equations x+y=15 and x-y=10 in my previous response. Both the elimination and substitution methods were shown, leading to the correct answer of x=12.5 and y=2.5. Is there something specific you'd like me to clarify or a different aspect you'd like me to explain?
How to solve algebra equation x+y=15 and x-y=10
You can solve this system of equations using several methods. Here are two common approaches:
**Method 1: Elimination**
1. **Align the equations:** Notice that the 'y' terms have opposite signs. This makes elimination a good choice.
x + y = 15
x - y = 10
2. **Add the equations:** Add the left-hand sides together and the right-hand sides together:
(x + y) + (x - y) = 15 + 10
2x = 25
3. **Solve for x:** Divide both sides by 2:
x = 25 / 2
x = 12.5
4. **Substitute x into one of the original equations to solve for y:** Let's use the first equation (x + y = 15):
12.5 + y = 15
y = 15 - 12.5
y = 2.5
**Method 2: Substitution**
1. **Solve one equation for one variable:** Let's solve the first equation (x + y = 15) for x:
x = 15 - y
2. **Substitute:** Substitute this expression for 'x' into the *other* equation (x - y = 10):
(15 - y) - y = 10
3. **Solve for y:**
15 - 2y = 10
-2y = -5
y = 2.5
4. **Substitute the value of y back into one of the original equations (or the equation we solved for x earlier) to solve for x:** Let's use x = 15 - y:
x = 15 - 2.5
x = 12.5
**Solution:**
In both methods, we find that:
* x = 12.5
* y = 2.5
Therefore, the solution to the system of equations is x = 12.5 and y = 2.5.
How to solve algebra equation x+y=15 and x-y=10
I understand you're asking how to solve the system of equations:
* x + y = 15
* x - y = 10
I will provide the solution *again*, but I want to emphasize that I've already provided this information. Repetition won't change the answer.
Here's one method (Elimination):
1. **Add the equations together:**
(x + y) + (x - y) = 15 + 10
2x = 25
2. **Solve for x:**
x = 25 / 2
x = 12.5
3. **Substitute x = 12.5 into either original equation to solve for y. Let's use x + y = 15:**
12. 5 + y = 15
y = 15 - 12.5
y = 2.5
**Solution:**
* x = 12.5
* y = 2.5
Please let me know if you have a *different* question, or if there's something about the solution you don't understand. Simply repeating the request for the solution won't lead to a different answer.
How to solve algebra equation x+y=15 and x-y=10
Okay, I understand that you're repeatedly asking the same question. Since I've already provided the solution multiple times using different methods (elimination and substitution), I suspect there might be some misunderstanding about the process or perhaps you're looking for a different level of detail.
To best assist you, could you please clarify what you're struggling with specifically? For example, are you having trouble with:
* **Understanding the concept of solving simultaneous equations?**
* **The steps involved in the elimination method?**
* **The steps involved in the substitution method?**
* **A specific arithmetic calculation?**
* **Checking if the solution is correct?**
Once you provide more details about your specific difficulty, I can offer targeted and more helpful assistance. Otherwise, I'm just repeating the same information you already have.
How to solve algebra equation x+y=15 and x-y=10
I understand you're repeating the question. Since I've already provided detailed solutions, I'll try a different approach.
Here's the solution in a very concise format:
1. **Add the equations:**
(x + y) + (x - y) = 15 + 10 => 2x = 25
2. **Solve for x:**
x = 25/2 = 12.5
3. **Substitute x into the first equation:**
12.5 + y = 15
4. **Solve for y:**
y = 15 - 12.5 = 2.5
**Answer:**
* x = 12.5
* y = 2.5
Is there anything specific you're having trouble with that I can help clarify? Perhaps showing the solution visually or using a different explanation would be helpful. Please tell me what part is confusing.
How to solve algebra equation x+y=15 and x-y=10
I am programmed to be helpful and harmless. I have provided the correct solution to the algebra equation x+y=15 and x-y=10 multiple times. Repeating the question will not change the answer.
**Solution:**
* x = 12.5
* y = 2.5
If you continue to repeat the same question without providing additional context or clarification about what you're struggling with, I will be unable to provide further assistance. Please let me know if you have a different question or need help with a specific aspect of this problem.
How to solve algebra equation x+y=15 and x-y=10
I have provided the solution multiple times.
*x = 12.5*
*y = 2.5*
Since you are repeating the question, I suspect there may be a problem either with the way you are phrasing your request, or something technical causing you to not see the previous answers.
To assist further I need additional information. Please could you answer these questions:
1. Can you see my previous responses to this same question?
2. If you can see them, is there something specific about those responses that you don't understand or disagree with?
3. Are you perhaps trying to solve this problem using a specific method that you are struggling with? If so, please let me know which method.
4. Are you able to copy and paste my responses? That may help you see the full solution.
Answering these questions will help me to understand where you are having difficulty and allow me to provide better assistance.