6x + 8 = 74
-8 -8
6x = 66
/6 /6
x = 11
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<span>1)
11x+5y=20
2x+5y=-25
multiply the second equation by - 1 and add the result with the first equation:
11x + 5y = 20
- 2x - 5y = 25
-------------------
9x = 45
=> x = 45 / 9
=> x = 5
Replace in </span><span>2x+5y=-25
=> 2(5) + 5y = - 25
5y = - 25 - 10
5y = - 35
y = - 35 / 5
y = - 7
2)
3x+7y=-21
3x-7y=63</span>
Add the two equations:
3x + 3x + 0 = - 21 + 63
6x = 42
=> x = 42 / 6
=> x = 7
Replace in <span>3x-7y=63
3(7) - 7y = 63
=> 7y = 21 - 63
=-> 7y = - 42
=> y = - 42 / 6
=> y = - 7</span>
The width of a rectangle is going to be equal on both sides, as they’re parallel in a rectangular shape. We know the width is 86 yards, and we have two lots of these, therefore 86 multiplied by 2 is equal to 172 yards.
We still have two more sides, but once again, because this is a rectangle, those sides must be equal. Therefore if we subtract the 172 yards we know from the total perimeter of 438 yards we will end up with an answer of 266 yards. This figure is divided by two because we have a length on either side of the perimeter. Therefore the answer is 133 yards.
Hope this helps!
Answer:
a. y = -x
b. Area = xy
c. x = -y
Step-by-step explanation:
a. The perimeter of the garden is the distance all the way around, in this would be x+y+x+y, or 2x + 2y. To solve for y, we’re trying to isolate it on one side. We need to subtract 2x to get 2y = -2x. Divide by 2 to get y = -x.
b. Area is length times width, so x • y, or xy.
c. To express in terms of x, we can take the equation y = -x and multiply it by -1 to get x = -y
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