Answer:
D
Step-by-step explanation:
Consider the equation:
[tex]\dfrac{3}{4}(24-16x)=-\dfrac{2}{3}(18x-27)[/tex]
Use distributive property in both sides:
[tex]\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[/tex]
Separate terms with x into the left part and terms without x into the right part:
[tex]-12x+12x=18-18\\ \\0=0[/tex]
Since you get true equality 0 = 0, the equation is true for all real values of x. So, the equation has infinitely many solutions.
