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3 years ago

Someone solve this for me please

Mathematics

1 answer:

Butoxors [25]3 years ago

5 0

Answer:

x=2; y=1

Step-by-step explanation:

Since the triangle is equilateral, which means three sides have the same length.

So we have：4x-y=2x+3y=7

$4x-y=2x+3y\\4x-y+y=2x+3y+y\\4x=2x+4y\\2x=4y\\x=2y\\$

Since 2x+3y=7 and plug in x=2y

we have

$2x+3y=7\\2(2y)+3y=7\\4y+3y=7\\7y=7\\y=1$

and since y=1

x=2

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The width of a rectangle is the sum of the length and 5. The area of the rectangle is 36 units. What id the width, in units, of

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Answer:

Step-by-step explanation:

Let length = x

Width = x + 5

Area = 36

Area = length × width

36 = x(x + 5)

36 = x^2 + 5x

x^2 + 5x - 36 = 0

x^2 + 9x - 4x -36 =0

(x^2 + 9x) - (4x + 36) = 0

x(x + 9) - 4(x + 9) = 0

(x -4)(x+9) = 0

x - 4 = 0 or x + 9 = 0

x = 4 or -9

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x = 4unit = length

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