Show your solution and answer the questions

9514 1404 393

Step-by-step explanation:

1. Dividing the second equation by -3, we find it to be ...

  x -y = -1/3

This is inconsistent with the first equation. There is no solution.

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2. Dividing the second equation by -3 gives ...

  2x +2y = -5

This is consistent and independent with respect to the first equation. It tells you immediately that y=0, so x = -5/2. The solution is (-2.5, 0).

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3. The first equation has a slope of 1/2. The second equation has a slope of -2, so the equations are consistent and independent. Substituting for y in the second equation, you have 5/2x = 2, so x = 4/5. The first equation tells you y is half that, so y = 2/5. The solution is (4/5, 2/5).

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The attachments show the graphs (and solutions) of the systems of equations.

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.