There are 13 green marbles in the bag.
Step-by-step explanation:
Total marbles = 18
Let,
Green marbles = x
Blue marbles = y
According to given statement;
The number of green marbles is 2 less than 3 times the number of blue marbles.
x = 3y-2 Eqn 1
x+y=18 Eqn 2
Putting value of x from Eqn 1 in Eqn 2;
[tex](3y-2)+y=18\\3y-2+y=18\\4y=18+2\\4y=20[/tex]
Dividing both sides by 4
[tex]\frac{4y}{4}=\frac{20}{4}\\y=5[/tex]
Putting y=5 in Eqn 1
[tex]x=3(5)-2\\x=15-2\\x=13[/tex]
There are 13 green marbles in the bag.
Keywords: linear equation, substitution method
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