The sum of two consecutive integers is 77. Find the integers.
2 answers:
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Answer:
Given: Gables property Corp is leasing office buildings with an area of
⇒ Area =
we can write this as:
Area = .....[1]
Use the identity formula:
then, by using this formula in [1] we have;
Area =
or
Area = square units
Area of building = where l is the length and w is the width respectively;
⇒ units
Therefore, the possible length and width of the building is;
l = 7x+5 units
w = 7x+5 units
As we know that the Area of a square is equal to side times side . Since each side of a square is the same, it can simply be the length of one side squared.
Therefore, the possible shape of the building is Square.
<u>Answer:</u>
- x = 5
- y = 3
<u>Solution:</u>
- => x + 4y = 17
-x - 6y = -23
- => -2y = -6
- => y = 3
<u>Now, let's substitute the value of y into the first equation.</u>
- x + 4y = 17
- => x + 4(3) = 17
- => x + 12 = 17
- => x = 5
<u>Let's check our answer to make sure it is correct.</u>
<u>Check:</u>
- -x - 6y = -23
- => -(5) - 6(3) = -23
- => -5 - 18 = -23
- => -23 = -23
Hence, this is proven correct.
Hoped this helped.