Find the information you're looking for at Westonci.ca, the trusted Q&A platform with a community of knowledgeable experts. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.
Sagot :
Sure, let's solve this problem step by step to find suitable values for [tex]\( x \)[/tex] and [tex]\( y \)[/tex].
Given:
1. [tex]\( m42 = 7x + 7 \)[/tex]
2. [tex]\( m3 = 5y \)[/tex]
3. [tex]\( m<4 = 140 \)[/tex]
We need to test the given options to see which one satisfies the two equations [tex]\( m42 = 7x + 7 \)[/tex] and [tex]\( m3 = 5y \)[/tex].
Let's check each option:
### Option 1: [tex]\( x = 140, y = 40 \)[/tex]
- Calculate [tex]\( m42 \)[/tex]:
[tex]\[ m42 = 7x + 7 = 7(140) + 7 = 980 + 7 = 987 \][/tex]
- Calculate [tex]\( m3 \)[/tex]:
[tex]\[ m3 = 5y = 5(40) = 200 \][/tex]
So, for [tex]\( x = 140 \)[/tex] and [tex]\( y = 40 \)[/tex]:
- [tex]\( m42 = 987 \)[/tex]
- [tex]\( m3 = 200 \)[/tex]
### Option 2: [tex]\( x = 40, y = 140 \)[/tex]
- Calculate [tex]\( m42 \)[/tex]:
[tex]\[ m42 = 7x + 7 = 7(40) + 7 = 280 + 7 = 287 \][/tex]
- Calculate [tex]\( m3 \)[/tex]:
[tex]\[ m3 = 5y = 5(140) = 700 \][/tex]
So, for [tex]\( x = 40 \)[/tex] and [tex]\( y = 140 \)[/tex]:
- [tex]\( m42 = 287 \)[/tex]
- [tex]\( m3 = 700 \)[/tex]
### Option 3: [tex]\( x = 8, y = 19 \)[/tex]
- Calculate [tex]\( m42 \)[/tex]:
[tex]\[ m42 = 7x + 7 = 7(8) + 7 = 56 + 7 = 63 \][/tex]
- Calculate [tex]\( m3 \)[/tex]:
[tex]\[ m3 = 5y = 5(19) = 95 \][/tex]
So, for [tex]\( x = 8 \)[/tex] and [tex]\( y = 19 \)[/tex]:
- [tex]\( m42 = 63 \)[/tex]
- [tex]\( m3 = 95 \)[/tex]
### Option 4: [tex]\( x = 19, y = 8 \)[/tex]
- Calculate [tex]\( m42 \)[/tex]:
[tex]\[ m42 = 7x + 7 = 7(19) + 7 = 133 + 7 = 140 \][/tex]
- Calculate [tex]\( m3 \)[/tex]:
[tex]\[ m3 = 5y = 5(8) = 40 \][/tex]
So, for [tex]\( x = 19 \)[/tex] and [tex]\( y = 8 \)[/tex]:
- [tex]\( m42 = 140 \)[/tex]
- [tex]\( m3 = 40 \)[/tex]
After evaluating all the given options, these are the results:
1. [tex]\( (x = 140, y = 40) \)[/tex]: [tex]\( m42 = 987 \)[/tex] and [tex]\( m3 = 200 \)[/tex]
2. [tex]\( (x = 40, y = 140) \)[/tex]: [tex]\( m42 = 287 \)[/tex] and [tex]\( m3 = 700 \)[/tex]
3. [tex]\( (x = 8, y = 19) \)[/tex]: [tex]\( m42 = 63 \)[/tex] and [tex]\( m3 = 95 \)[/tex]
4. [tex]\( (x = 19, y = 8) \)[/tex]: [tex]\( m42 = 140 \)[/tex] and [tex]\( m3 = 40 \)[/tex]
Thus, the option [tex]\( x = 19 \)[/tex] and [tex]\( y = 8 \)[/tex] satisfies the given equations [tex]\( m42 = 7x + 7 \)[/tex] and [tex]\( m3 = 5y \)[/tex]:
- [tex]\( m42 = 140 \)[/tex]
- [tex]\( m3 = 40 \)[/tex]
Therefore, the correct values are:
[tex]\[ \boxed{x = 19, y = 8} \][/tex]
Given:
1. [tex]\( m42 = 7x + 7 \)[/tex]
2. [tex]\( m3 = 5y \)[/tex]
3. [tex]\( m<4 = 140 \)[/tex]
We need to test the given options to see which one satisfies the two equations [tex]\( m42 = 7x + 7 \)[/tex] and [tex]\( m3 = 5y \)[/tex].
Let's check each option:
### Option 1: [tex]\( x = 140, y = 40 \)[/tex]
- Calculate [tex]\( m42 \)[/tex]:
[tex]\[ m42 = 7x + 7 = 7(140) + 7 = 980 + 7 = 987 \][/tex]
- Calculate [tex]\( m3 \)[/tex]:
[tex]\[ m3 = 5y = 5(40) = 200 \][/tex]
So, for [tex]\( x = 140 \)[/tex] and [tex]\( y = 40 \)[/tex]:
- [tex]\( m42 = 987 \)[/tex]
- [tex]\( m3 = 200 \)[/tex]
### Option 2: [tex]\( x = 40, y = 140 \)[/tex]
- Calculate [tex]\( m42 \)[/tex]:
[tex]\[ m42 = 7x + 7 = 7(40) + 7 = 280 + 7 = 287 \][/tex]
- Calculate [tex]\( m3 \)[/tex]:
[tex]\[ m3 = 5y = 5(140) = 700 \][/tex]
So, for [tex]\( x = 40 \)[/tex] and [tex]\( y = 140 \)[/tex]:
- [tex]\( m42 = 287 \)[/tex]
- [tex]\( m3 = 700 \)[/tex]
### Option 3: [tex]\( x = 8, y = 19 \)[/tex]
- Calculate [tex]\( m42 \)[/tex]:
[tex]\[ m42 = 7x + 7 = 7(8) + 7 = 56 + 7 = 63 \][/tex]
- Calculate [tex]\( m3 \)[/tex]:
[tex]\[ m3 = 5y = 5(19) = 95 \][/tex]
So, for [tex]\( x = 8 \)[/tex] and [tex]\( y = 19 \)[/tex]:
- [tex]\( m42 = 63 \)[/tex]
- [tex]\( m3 = 95 \)[/tex]
### Option 4: [tex]\( x = 19, y = 8 \)[/tex]
- Calculate [tex]\( m42 \)[/tex]:
[tex]\[ m42 = 7x + 7 = 7(19) + 7 = 133 + 7 = 140 \][/tex]
- Calculate [tex]\( m3 \)[/tex]:
[tex]\[ m3 = 5y = 5(8) = 40 \][/tex]
So, for [tex]\( x = 19 \)[/tex] and [tex]\( y = 8 \)[/tex]:
- [tex]\( m42 = 140 \)[/tex]
- [tex]\( m3 = 40 \)[/tex]
After evaluating all the given options, these are the results:
1. [tex]\( (x = 140, y = 40) \)[/tex]: [tex]\( m42 = 987 \)[/tex] and [tex]\( m3 = 200 \)[/tex]
2. [tex]\( (x = 40, y = 140) \)[/tex]: [tex]\( m42 = 287 \)[/tex] and [tex]\( m3 = 700 \)[/tex]
3. [tex]\( (x = 8, y = 19) \)[/tex]: [tex]\( m42 = 63 \)[/tex] and [tex]\( m3 = 95 \)[/tex]
4. [tex]\( (x = 19, y = 8) \)[/tex]: [tex]\( m42 = 140 \)[/tex] and [tex]\( m3 = 40 \)[/tex]
Thus, the option [tex]\( x = 19 \)[/tex] and [tex]\( y = 8 \)[/tex] satisfies the given equations [tex]\( m42 = 7x + 7 \)[/tex] and [tex]\( m3 = 5y \)[/tex]:
- [tex]\( m42 = 140 \)[/tex]
- [tex]\( m3 = 40 \)[/tex]
Therefore, the correct values are:
[tex]\[ \boxed{x = 19, y = 8} \][/tex]
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.
