Answer: D)11
Step-by-step explanation:
-4=x-15
get x to be alone so add 15
15-4=x
11=x
(3x+8)+(6x+2)
first add the 3x and 6x
then add 8 and 2
the answer is 9x+10
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A) 6x – 6 = 15x + 15
B) 6x – 15 = 6x +15
C) 6x – 6 = 6x + 15
D) 6x + 15 = 6x + 15
By assessing each equation, we deduce that the only equation that has exactly one solution among the ones given is equation A (6x – 6 = 15x + 15). Equations B (6x – 15 = 6x +15) and C (6x – 6 = 6x + 15) have no solutions, and equation D (6x + 15 = 6x + 15) has infinitely many solutions.
Solution to an equation is the value of variable that satisfies the equation or makes the equation true. Let's examine the given equations one by one:
A) 6x – 6 = 15x + 15: If we simplify this equation by moving all the terms involving x to one side and the constants to the other, we get: 9x = -21, which gives x = -21/9 or -7/3, hence this equation has exactly one solution .
B) 6x – 15 = 6x +15: In this case, if we subtract 6x from both sides, we get -15 = 15, which is not true, hence this equation has no solution.
C) 6x – 6 = 6x + 15: Again, if we subtract 6x from both sides, we get -6 = 15, which is not true, hence this equation again has no solution.
D) 6x + 15 = 6x + 15: For this equation, it stands true for any value of x, therefore this equation has infinitely many solutions.
So, out of the given options, only the equation A has exactly one solution.
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Express your answer in simplest form.
A.
7 1/2 feet
B.
10 1/2 feet
C.
11 feet
D.
12 feet