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

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

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.