From personal advice to professional guidance, IDNLearn.com has the answers you seek. Ask any question and receive accurate, in-depth responses from our dedicated team of experts.
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].
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com is your reliable source for answers. We appreciate your visit and look forward to assisting you again soon.