The equation 11x + 10y = 32 is a linear equation, and the solution to the linear equation 11x + 10y = 32 is
The equation is given as:
11x + 10y = 32
Subtract 11x from both sides
10y = 32 - 11x
Divide both sides by 10
Hence, the solution to the linear equation 11x + 10y = 32 is
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Given:
Violinists : Cellists = 7:3.
Number of violinists in the school orchestra = 21
To find:
The combined number of cellists and violinists.
Solution:
Let the number of violinists and cellists in the school orchestra are 7x and 3x respectively.
Then, combined number of cellists and violinists is
...(i)
Number of violinists in the school orchestra = 21
Divide both sides by 7.
Now, the combined number of cellists and violinists is
[Using (i)]
Therefore, the combined number of cellists and violinists is 30.