# Simultaneous Equations check on work

• valley
In summary, Mark is a college student who has to turn in an assignment. He uploads the document with three questions, but he is not sure how to solve them. He asks for help from a friend, and the friend types in the equations for him.
valley
Guys I have an assigment to hand in I am back at college again. Mature student
so as this might be simple for some it sometimes is not for me(out of school 10 years)
I have uploaded 3 pages, questions 1,2,3 I have completed. but I just need to have them checked to see if they are correct.

And then Question 4 I am totally lost on what to do.
I would be really grateful for any help

thank you

## Homework Statement

(Simultaneus Equations)
The Sum of the ages of 2 Wind Turbines is 46 months. The Modern Wind turbine
is 10 months younger than the other. calculate their present ages and confirm your
answer by graphical means

## The Attempt at a Solution

2x+y=46 2x being the 2 turbines 46being the number of months

y=-2x+46

x+Y=-10 -10 being the turbine 10 months younger.

## Homework Statement

#### Attachments

• Complete 1.jpg
10 KB · Views: 375
• Complete 2.jpg
16.6 KB · Views: 436
• Confused.jpg
12.8 KB · Views: 373
Your writing is too small for me to read in the first two files. For the third problem, you are not translating the given information into mathematical symbols correctly in either equation.

valley said:
2x+y=46 2x being the 2 turbines 46being the number of months

Let x = the age of the older turbine
Let y = the age of the newer turbine

"The sum of the ages of the 2 wind turbines is 46 months."
becomes
x + y = 46

"The modern wind turbine
is 10 months younger than the other." becomes
y = x - 10

These are the equations you need to use.

Mark44 said:
Your writing is too small for me to read in the first two files. For the third problem, you are not translating the given information into mathematical symbols correctly in either equation.

Let x = the age of the older turbine
Let y = the age of the newer turbine

"The sum of the ages of the 2 wind turbines is 46 months."
becomes
x + y = 46

"The modern wind turbine
is 10 months younger than the other." becomes
y = x - 10

These are the equations you need to use.

Hi Mark thanks for replying I have uploaded the first 2 documents again, sorry about my writing it's terrible

#### Attachments

• 4.jpg
14.4 KB · Views: 378
• 5.jpg
13 KB · Views: 402
• 6.jpg
14.5 KB · Views: 381
It would be helpful if you could type in what you have so that we don't have to open an attachment.
In the first file, 1a is correct, 1b is correct as far as it goes (combine the two middle terms), and 1c has an incorrect term ( (-5)(-2) isn't -10). Also, you should insert = signs between any two expressions that are equal. Your work doesn't show any of them, and it should.

In the second file, there are actually two solutions; b = +/-sqrt(12k^2 - a^2). It might be that it is physically impossible for b to be negative, but unless you know that, you should show both solutions.

You didn't mention it, but your third file is different this time from the one posted originally. Parts a, c, and d are fine, and part b is technically correct, but you shouldn't write exponents as mixed numbers. Instead of writing the exponent as -3 2/3, write it as -11/3. Same goes for part c. Don't write the exponent as 1 1/4; write it as 5/4.

Mark44 said:
It would be helpful if you could type in what you have so that we don't have to open an attachment.
In the first file, 1a is correct, 1b is correct as far as it goes (combine the two middle terms), and 1c has an incorrect term ( (-5)(-2) isn't -10). Also, you should insert = signs between any two expressions that are equal. Your work doesn't show any of them, and it should.

In the second file, there are actually two solutions; b = +/-sqrt(12k^2 - a^2). It might be that it is physically impossible for b to be negative, but unless you know that, you should show both solutions.

You didn't mention it, but your third file is different this time from the one posted originally. Parts a, c, and d are fine, and part b is technically correct, but you shouldn't write exponents as mixed numbers. Instead of writing the exponent as -3 2/3, write it as -11/3. Same goes for part c. Don't write the exponent as 1 1/4; write it as 5/4.
Hi Mark yeah I was in a rush to write it down again before you went offline.So I made a few mistakes, but my original work is correct from what you say. Question 2 I will work out for both - and + , and also thanks for telling me the correct way to write exponents.
That has helped me a lot thanks very much

## 1. How do I know if my solution to a simultaneous equation problem is correct?

The best way to check your work for simultaneous equations is to substitute your solution into both equations and see if the resulting values are true. If both equations are true, then your solution is correct.

## 2. Can I use any method to check my work for simultaneous equations?

Yes, there are multiple methods you can use to check your work for simultaneous equations. Some common methods include graphing, substitution, and elimination. Choose the method that works best for you.

## 3. Do I have to check my work for every simultaneous equation problem?

While it is not required, it is always a good idea to check your work for any math problem, including simultaneous equations. This helps catch any mistakes and ensures that your solution is correct.

## 4. What if my solution does not work when I check it for simultaneous equations?

If your solution does not work when checked for simultaneous equations, it means there is an error in your calculations. Double-check your work and see if you can find the mistake. If not, try using a different method to solve the equations.

## 5. Is it possible to have more than one solution for simultaneous equations?

Yes, it is possible to have more than one solution for simultaneous equations. This is known as infinite solutions, and it happens when the two equations represent the same line. In this case, any point on the line is a solution to the equations.

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