5x - y = 3 ------------ (1)
6x - y = 8 ------------ (2)
From (1):
5x - y = 3
y = 5x - 3 ------------ Sub into (2)
6x - (5x - 3) = 8
6x - 5x + 3 = 8
x + 3 = 8
x = 5 ------------------- Sub into (1)
5x - y = 3
5(5) - y = 3
25 - y = 3
y = 25 - 3
y = 22
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Ans: x = 5, y = 22
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Step-by-step explanation:
h = height of rectangle (should be "length", but ok)
w = width of rectangle
w = h + 97
the diagonal of the rectangle is the Hypotenuse (baseline) of a right-angled triangle with the legs being one height and one width side of the rectangle.
so, we use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90° angle).
diagonal² = h² + (h + 97)² = h² + h² + 2×97h + 97²
113² = 12769 = 2h² + 194h + 9409
3360 = 2h² + 194h
1680 = h² + 97h = (h + 97/2)² - 9409/4
(completing the square)
6720/4 + 9409/4 = (h + 97/2)²
16129/4 = (h + 97/2)²
127/2 = h + 97/2
30/2 = h = 15
the height is 15.0 in
Answer:
9x-14
Step-by-step explanation:
7 times 2 is 14, and 5x plus 4x is 9x so it is 9x-14
The first one, the opposite of any negative number is the same number but positive...and vise versa.
