From everyday questions to specialized queries, IDNLearn.com has the answers. Our Q&A platform offers reliable and thorough answers to ensure you have the information you need to succeed in any situation.
Sagot :
Certainly! Let's break down the problem step-by-step to formulate the system of equations:
1. Assign variables:
- Let [tex]\( a \)[/tex] represent the first number.
- Let [tex]\( y \)[/tex] represent the second number.
2. Translate the given information into equations:
- First Piece of Information:
The sum of the two numbers is 62.
This can be written mathematically as:
[tex]\[ a + y = 62 \][/tex]
- Second Piece of Information:
The second number is 5 more than twice the first number.
This can be written mathematically as:
[tex]\[ y = 2a + 5 \][/tex]
3. Combine the two equations into a system of equations:
[tex]\[ \begin{cases} a + y = 62 \\ y = 2a + 5 \end{cases} \][/tex]
So, the system of equations based on the given problem is:
[tex]\[ \begin{cases} a + y = 62 \\ y = 2a + 5 \end{cases} \][/tex]
This is the desired system of equations formulated from the given description.
1. Assign variables:
- Let [tex]\( a \)[/tex] represent the first number.
- Let [tex]\( y \)[/tex] represent the second number.
2. Translate the given information into equations:
- First Piece of Information:
The sum of the two numbers is 62.
This can be written mathematically as:
[tex]\[ a + y = 62 \][/tex]
- Second Piece of Information:
The second number is 5 more than twice the first number.
This can be written mathematically as:
[tex]\[ y = 2a + 5 \][/tex]
3. Combine the two equations into a system of equations:
[tex]\[ \begin{cases} a + y = 62 \\ y = 2a + 5 \end{cases} \][/tex]
So, the system of equations based on the given problem is:
[tex]\[ \begin{cases} a + y = 62 \\ y = 2a + 5 \end{cases} \][/tex]
This is the desired system of equations formulated from the given description.
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. Discover the answers you need at IDNLearn.com. Thank you for visiting, and we hope to see you again for more solutions.