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There are 20 purple(x) or yellow(y) marbles in a bag. The number of purple marbles is 4 less than 2 times the number of yellow marbles. Write a system of linear equations that represents the situation.

Sagot :

Answer:

There are 12 purple marbles and 8 yellow marbles.

Step-by-step explanation:

Let there are x purple and y yellow marbled in a bag.

x+y = 20 ...(1)

The number of purple marbles is 4 less than 2 times the number of yellow marbles.

x = 2y -4

x-2y = -4 ...(2)

Subtract equation (1) from (2).

x-2y-(x+y) = -4-20

-2y-y = -24

-3y = -24

y = 8

Put the value of y in equation (1).

x+8 = 20

x = 12

Hence, there are 12 purple marbles and 8 yellow marbles.

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