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Three times the number of blue marbles exceeds twice the number of red marbles by 18 also 5 times the number of blue marbles is 2 less than 6 times the number of red marbles how many of each are there?

Will give brainliest please answer quickly

Respuesta :

There are 12 red and 14 blue.

The first equation would be
3B=2R+18.

The second equation would be
5B=6R-2.

To get the coefficients of R the same we will multiply the first equation by 3:
3(3B=2R+18)
which gives us
9B=6R+54

Now our system is
9B=6R+54
5B=6R-2

We will subtract the bottom equation to eliminate R:
9B=6R+54
-(5B=6R-2)

which gives us
4B=56

Divide both sides by 4:
4B/4=56/4
B=14

Substitute this into our first original equation:
3(14)=2R+18
42=2R+18

Subtract 18 from both sides:
42-18=2R+18-18
24=2R

Divide both sides by 2:
24/2=2R/2
12=R

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