Answer:
x = 1
Step-by-step explanation:
x 1
-------- = ----
x + 1 2
Begin the solution by multiplying both sides by the LCD, which is 2(x + 1):
2x = 2(x + 1)/2, or
2x = x + 1, or
x = 1
1
Check: is -------- = 1/2?
1 + 1
YES
−3(1+x)=−3x+1
Step 1: Simplify both sides of the equation.
−3(1+x)=−3x+1
(−3)(1)+(-3)(X)=-3x+1
(Distribute)
−3+ −3x=−3x+1
−3x−3=−3x+1
Step 2: Add 3x to both sides.
−3x−3+3x=-3x+1+3x
−3=1
Step 3: Add 3 to both sides.
−3+3=1+3
0=4
Answer:
There are no solutions.
Answer: the 2 integers are 15 and 17
Step-by-step explanation:
Let x represent the hypotenuse of the right angle triangle. Since the hypotenuse and the other leg are odd consecutive integers, then the other leg is x - 2 because x is longer
When a right angle triangle is formed, it means that
Hypotenuse² = opposite side² + adjacent side²
If the shortest side is 8, it means that
x² = (x - 2)² + 8²
x² = x² - 2x - 2x + 4 + 64
x² - x² + 2x + 2x = 68
4x = 68
x = 68/4 = 17
Therefore, the length of the other leg is
x - 2 = 17 - 2 = 15