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stepladder [879]
3 years ago
9

Select the correct answer.

Mathematics
1 answer:
Vikentia [17]3 years ago
3 0

Answer:

D. It has a single solution: x=-3, y= 26.

Step-by-step explanation:

3x + y=17

Subtract 3x so it is in y=mx+b form. So now it is y= -3x +17

Now plug in

x + 2 (-3x+17) = 49

x + -6x + 34 = 49   (distribute)

-5x = 15 (combine the x terms and subtract 34 on both sides)

x = -3  (divide -5 on both sides to get x alone)

now plug in x into any other equation to get y

x + 2y = 49

-3 + 2y = 49

2y = 52 (add 3 on both sides)

y = 17  (divide 2 on both sides to get y alone)

(-3, 26)

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the length of a rectangle is 5 less than twice the width.if the perimeter of the rectangle is 146,find the area of the rectangle
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Answer:

The area of the rectangle is 1222 units²

Step-by-step explanation:

The formula of the perimeter of a rectangle is P = 2(L + W), where L is its length and W is its width

The formula of the area of a rectangle is A = L × W

∵ The length of a rectangle is 5 less than twice the width

- Assume that the width of the rectangle is x units and multiply

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∴ W = x

∴ L = 2x - 5

- Use the formula of the perimeter above to find its perimeter

∵ P = 2(2x - 5 + x)

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∵ The perimeter of the rectangle is 146 units

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- Equate the two expression of P

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