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pychu [463]
3 years ago
7

A bag contains white marbles and blue marbles, 79 in total. the number of white marbles is 6 less than 4 times the number of blu

e marbles. how many white marbles are there?
Mathematics
1 answer:
Annette [7]3 years ago
7 0
Let x be the number of white marbles and y be the number of blue marbles. 
So, x+y=79
Also, x = 4y-6 since "<span>the number of white marbles is 6 less than 4 times the number of blue marbles</span>"
We will solve the above system o two equation:
Using the value of x from the second equation in the first equation we get:
(4y-6)+y=79\\5y=79+6\\5y=85\text{ then }y=\frac{85}{5}=17\\x=79-17=62
Conclusion: there is 62 white marbles and 17 blue marbles. 
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\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \: Add \:\: -6 \hat i - 6\hat j \:\:with \:\; Vector \:\; c

____________________________________

\large \tt Solution  \: :

Vector d can be represented as :

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\qquad \tt \rightarrow \:  4 \hat i + 4\hat j

we have to create vector d from vector c

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\qquad \tt \rightarrow \: x  = -  ( 4 \hat i + 4 \hat j)   - 2 \hat i  - 2 \hat j

\qquad \tt \rightarrow \: x  = (-   4 \hat i  - 2 \hat  i)  + (  - 4 \hat j  - 2 \hat j)

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