Question

The difference between the cost of five erasers and two pencils is 10$. if the price of a pencil is 1$ more than the price of an eraser. find the cost of eraser (x) and pencil (y)

Separately.

a) explore two different ways to solve the following system of linear equations represent the cost of eraser and pencil:
5x-2y=10
X-y= -1

Answer 1

`5x - 2y = 10` and
`y = 1 + x`

`5x = 10 + 2y` and
`y = 1 + x`

Explanation:

Represent the cost of pencil with y and erasers with x.

So: The first statement implies that:

Cost of 5 erasers = 5x

Cost of 2 pencils = 2y

Difference: 5x - 2y = 10

The second statement implies that:

Pencil = 1 more than eraser.

i.e.

y = 1 + x

So, we have the following system of equations (1)

`5x - 2y = 10`

`y = 1 + x`

Another way of representing the equations is: (2)

`5x = 10 + 2y`

`y = 1 + x`