Question

What is the solution to the equation 4x+9/2⅓=3x/0.5 ?

a) x=−2
b) x=3
c) x=−4
d) x=1

Answer 1

The solution to the given equation is x = -2, which is found by first clearing the fractions, then combining like terms, and finally isolating and solving for x.

Step-by-step explanation:

The solution to the equation 4x + 9/2¹³ = 3x/0.5 is found by simplifying and solving for x. The first step is to clear the fractions by multiplying both sides of the equation by 2¹³ to get rid of the fraction on the left side and by 2 to get rid of the fraction on the right side, leading to:

8¹³x + 9 = 6x

Next, we subtract 6x from both sides:

2¹³x + 9 = 0

Then, we subtract 9 from both sides to isolate the term with x:

2¹³x = -9

Finally, divide both sides by 2¹³:

x = -9 / 2±³

After calculation, the solution is x = -2, which corresponds to option (a) x = -2.