The equation 5/3x+11/3=-4/3 is solved as follows fill in the correct numbers to complete the solution

5/3x+11/3=-4/3
5/3=? Subtract from both sides
X=? Multiple both sides by 3/5 the reciprocal of 5/3

1 answer

5/3 can be subtracted from both sides as follows:

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

Simplifying on the left side:

(5/3)x + 11/3 - 5/3 = (5/3)x + 6/3

= (5/3)x + 2

On the right side:

-4/3 - 5/3 = -9/3 = -3

So, the equation becomes:

(5/3)x + 2 = -3

Now, in order to solve for x, we can multiply both sides of the equation by the reciprocal of 5/3, which is 3/5:

(3/5)((5/3)x + 2) = (3/5)(-3)

Simplifying on the left side:

(3/5)((5/3)x + 2) = (3/5)(5/3)x + (3/5)(2)

= (1)x + (6/5)

= x + 6/5

On the right side:

(3/5)(-3) = -9/5

So, the equation becomes:

x + 6/5 = -9/5

Therefore, the solution is x = -9/5 - 6/5 = -15/5 = -3.