Which of these strategies would eliminate a variable in the system of equations?

Mathematics

1 answer:

ira [324]3 years ago

6 0

Answer:

B) Subtract the bottom equation from the top equation

C) Add the equations.

Step-by-step explanation:

We have to eliminate a variable in the system of equations

6x + 5y = 1 . (1) and

6x - 5y = 7 (2) and,

Since the y-term on both the equations are the same but opposite in sign, therefore the strategy to eliminate y variable from the system of equations (1) and (2) is to add the equations. (Answer)

Again, the x-terms are the same and with a similar sign, therefore, by subtracting the bottom equation from the top equation we can also eliminate the x-variable. (Answer)

Step-by-step explanation:

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Lupe’s Construction is building a rectangular house that is 16 feet longer than it is wide. They will be putting a 3-foot wide s

mr Goodwill [35]

Answer:

The length of the four pieces of protective strip is 96 feet

Step-by-step explanation:

Let the w be the width of the rectangular house and L is length. Since L = w + 16, its perimeter P = 2(w + L)

= 2(w + w + 16)

= 2(2w + 16)

Since the perimeter of the house P = 136 feet,

136 = 2(2w + 16)

dividing through by 2, we have

136/2 = (2w + 16)

68 = (2w + 16)

collecting like terms, we have

68 - 16 = 2w

52 = 2w

dividing through by 2, we have

w = 52/2

w = 26 feet.

Now, since the side walk is 3 foot wide all around, the width of the house plus sidewalk = w + 3 and the length of the house plus sidewalk = L + 3 = w + 16 + 3 = w + 19.

So, the perimeter of the house plus sidewalk which is the perimeter of the four pieces of protective strip is P' = 2(w + 3 + w + 19)

= 2(w + 22)

= 2(26 + 22)

= 2(48)

= 96 feet

So, the length of the four pieces of protective strip is 96 feet.

5 0

4 years ago

Find the distance between the pair of points.

SVEN [57.7K]

Answer:

Distance is $\sqrt{290}$ units