2a+3b=4 and 3a+2b=6 then 5a +5b=?
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Answer:
10
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The value of (5a+5b) is 10
Given : The given algebraic equations are, 2a+3b=4 and 3a+2b=6
To find : The value of (5a+5b)
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the value of the given algebraic expression)
Here, will be using general algebraic method.
So,
- 2a + 3b = 4 (equation 1)
- 3a + 2b = 6 (equation 2)
By, adding equation 1 and 2, we get :
ㅤ 2a+3b = 4
(+) 3a+2b = 6
____________
ㅤ 5a+5b = 10 (equation 3)
The LHS of the equation 3, is our required algebraic expression (of which the value needs to calculated) . So, value of RHS of the equation 3 will be our required answer.
Hence, the value of (5a+5b) is 10
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