# simultaneous equations

2x - 3y = 21 5x + 2y = 5

To answer these simultaneous questions you have to first check whether the x or y terms have the same number. If the y havent then you must make them the same
javaid.aslam
19 June 2011
If you look at the y terms first. What number can you convert them both into? Or in other words 3 and 2 are factors of which number?
javaid.aslam
19 June 2011
Our new equations are 4x - 6y = 42 and 15x +6y = 15
javaid.aslam
19 June 2011
They are both factors of 6 which means we will need to multiply the first equation by 2 and the second equation by 3
javaid.aslam
19 June 2011
Because the signs are different we must add both equations to get 19x = 57, therefore x = 3
javaid.aslam
19 June 2011
If we subsititute this into one of the other equations y = -5
javaid.aslam
19 June 2011
The text passage provides a step-by-step explanation of solving a system of simultaneous equations, including the equations, the process to solve them, and the final solution.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# simultaneous equations

2x - 3y = 21 5x + 2y = 5

To answer these simultaneous questions you have to first check whether the x or y terms have the same number. If the y havent then you must make them the same
javaid.aslam
19 June 2011
If you look at the y terms first. What number can you convert them both into? Or in other words 3 and 2 are factors of which number?
javaid.aslam
19 June 2011
Our new equations are 4x - 6y = 42 and 15x +6y = 15
javaid.aslam
19 June 2011
They are both factors of 6 which means we will need to multiply the first equation by 2 and the second equation by 3
javaid.aslam
19 June 2011
Because the signs are different we must add both equations to get 19x = 57, therefore x = 3
javaid.aslam
19 June 2011
If we subsititute this into one of the other equations y = -5
javaid.aslam
19 June 2011
user
The text passage provides a step-by-step explanation of solving a system of simultaneous equations, including the equations, the process to solve them, and the final solution.

TYPE: SINGLE_QUESTION_WITH_ANSWER