IDNLearn.com connects you with experts who provide accurate and reliable answers. Find accurate and detailed answers to your questions from our experienced and dedicated community members.
Sagot :
Let's start solving the questions step by step based on the given equations:
1. Given the equation [tex]\(2a + 3b = 7\)[/tex], we need to find the value of [tex]\(6a + 9b\)[/tex]:
- To obtain [tex]\(6a + 9b\)[/tex] from [tex]\(2a + 3b\)[/tex], we can multiply the entire equation [tex]\(2a + 3b = 7\)[/tex] by 3.
- This gives us:
[tex]\[ 3 \times (2a + 3b) = 3 \times 7 \][/tex]
- Simplifying this, we get:
[tex]\[ 6a + 9b = 21 \][/tex]
So, the value of [tex]\(6a + 9b\)[/tex] is [tex]\(21\)[/tex].
2. Now, let's determine the value of [tex]\(3x + 5y\)[/tex] using the given equation [tex]\(6x + 10y = 40\)[/tex]:
- To obtain [tex]\(3x + 5y\)[/tex] from [tex]\(6x + 10y\)[/tex], we can divide the entire equation [tex]\(6x + 10y = 40\)[/tex] by 2.
- This gives us:
[tex]\[ \frac{6x + 10y}{2} = \frac{40}{2} \][/tex]
- Simplifying this, we get:
[tex]\[ 3x + 5y = 20 \][/tex]
So, the value of [tex]\(3x + 5y\)[/tex] is [tex]\(20\)[/tex].
To summarize, the solutions to the given questions are:
(i) The value of [tex]\(6a + 9b\)[/tex] is [tex]\(21\)[/tex].
(ii) The value of [tex]\(3x + 5y\)[/tex] is [tex]\(20\)[/tex].
1. Given the equation [tex]\(2a + 3b = 7\)[/tex], we need to find the value of [tex]\(6a + 9b\)[/tex]:
- To obtain [tex]\(6a + 9b\)[/tex] from [tex]\(2a + 3b\)[/tex], we can multiply the entire equation [tex]\(2a + 3b = 7\)[/tex] by 3.
- This gives us:
[tex]\[ 3 \times (2a + 3b) = 3 \times 7 \][/tex]
- Simplifying this, we get:
[tex]\[ 6a + 9b = 21 \][/tex]
So, the value of [tex]\(6a + 9b\)[/tex] is [tex]\(21\)[/tex].
2. Now, let's determine the value of [tex]\(3x + 5y\)[/tex] using the given equation [tex]\(6x + 10y = 40\)[/tex]:
- To obtain [tex]\(3x + 5y\)[/tex] from [tex]\(6x + 10y\)[/tex], we can divide the entire equation [tex]\(6x + 10y = 40\)[/tex] by 2.
- This gives us:
[tex]\[ \frac{6x + 10y}{2} = \frac{40}{2} \][/tex]
- Simplifying this, we get:
[tex]\[ 3x + 5y = 20 \][/tex]
So, the value of [tex]\(3x + 5y\)[/tex] is [tex]\(20\)[/tex].
To summarize, the solutions to the given questions are:
(i) The value of [tex]\(6a + 9b\)[/tex] is [tex]\(21\)[/tex].
(ii) The value of [tex]\(3x + 5y\)[/tex] is [tex]\(20\)[/tex].
Thank you for using this platform to share and learn. Don't hesitate to keep asking and answering. We value every contribution you make. For dependable answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.