Question

Read each problem carefully and solve as required then answer the questions that follow.​

Answer 1

Answer:

Step-by-step explanation:

1) Number of jeans = x

Number of blouses = y

Total items = 6

x +  y = 6 -------------------(I)

       y = 6 - x

Cost of 'x' jeans =  300 *x = 300x

Cost of y blouses = 100 * y = 100y

Total amount  = Php. 1000

300x + 100y = 1000 ------------(II)

2) Substitute y = 6 - x in equation (II)

         300x + 100(6-x) = 1000

300x + 6*100 - x *100 = 1000

 300x + 600 - 100x   = 1000

                200x + 600=1000

                          200x = 1000 - 600

                          200x = 400

                               x = 400/200

x = 2

Plugin x = 2 in equation (I)

2 + y = 6

     y = 6 - 2

     y = 4

Number of jeans = 2

Number of blouses = 4

3) This equations have only one solution. So, they are consistent and independent