Question

8.

Hope spent a total of $131 on seven throw pillows. Fancy throw pillows

cost $28 and plain throw pillows cost $15.

Use substitution to solve the linear system of equations and

determine how many fancy pillows, x, and plain pillows, y she bought.

Write the solution to the system as an ordered pair (x,y).

Answer 1

(2, 5)

Explanation:

Let the number of fancy throw pillows be x.

Let the number of plain throw pillows be y.

Hope spent a total of $131 on 7 throw pillows.

Fancy throw pillows cost $28 and plain throw pillows cost $15.

These imply two things:

x + y = 7 _______ (1)

28x + 15y = 131 ___(2)

We have a linear system of equations.

From (1):

x = 7 - y

Substitute the value of f into (2):

28(7 - y) + 15y = 131

196 - 28y + 15y = 131

196 - 13y = 131

=> 13y = 196 - 131

13y = 65

y = 65 / 13

y = 5

This means that:

x = 7 - 5 = 2

Hope bought 2 fancy throw pillows and 5 plain throw pillows