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enyata [817]
3 years ago
8

I am very confused, please help!

Mathematics
1 answer:
mojhsa [17]3 years ago
6 0

Answer:

D

Step-by-step explanation:

Consider the equation:

\dfrac{3}{4}(24-16x)=-\dfrac{2}{3}(18x-27)

Use distributive property in both sides:

\dfrac{3}{4}\cdot 24-\dfrac{3}{4}\cdot 16x=-\dfrac{2}{3}\cdot 18x+\dfrac{2}{3}\cdot 27\\ \\3\cdot 6-3\cdot 4x=-2\cdot 6x+2\cdot 9\\ \\18-12x=-12x+18

Separate terms with x into the left part and terms without x into the right part:

-12x+12x=18-18\\ \\0=0

Since you get true equality 0 = 0, the equation is true for all real values of x. So, the equation has infinitely many solutions.

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