Question

A student bought a book 2 book and 3 pen for $108.if she had bought 5 book and 2 pen it would have cost the student $182. Write the equation to represent the information given above

Answer 1

Answer:

Answer is written in the attached photo

Step-by-step explanation:

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Answer 2

Answer:

2x + 3y = 108

5x + 2y = 182

Step-by-step explanation:

x = book cost

y = pen cost

2x + 3y = 108

5x + 2y = 182

2(5)x + 3(5)y = 108(5)

5(2)x + 2(2)y = 182(2)

10x + 15y = 540

10x + 4y = 364

11y = 176

y = 16

2x + 3(16) = 108

2x + 48 = 108

2x = 60

x = 30

So, the cost of a book is 30 dollars, and a cost of a pen is 16$.

The equation represented is a system of equations.