Question

The equation 5/3x+11/3=−4/3 is solved as follows. Fill in the correct numbers to complete the solution.(1 point)
5/3x+11/3=−4/3
5/3x=
Subtract 11/3 from both sides.
x=
Multiply both sides by 3/5, the reciprocal of 5/3.

Answer 1

wrong

Answer 2

5/3x + 11/3 = -4/3

To find the value of 5/3x, we need to isolate it on one side of the equation. We can do this by subtracting 11/3 from both sides:

5/3x = -4/3 - 11/3

5/3x = -15/3

Now, to solve for x, we need to get rid of the fraction 5/3 by multiplying both sides of the equation by its reciprocal, 3/5:

(3/5)(5/3x) = (3/5)(-15/3)

(3/3)x = -45/15

Now we can simplify the left side of the equation:

(1)x = -45/15
x = -45/15

So the solution to the equation 5/3x + 11/3 = -4/3 is x = -45/15.