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.

1 answer

The equation 5/3x+11/3=−4/3 is solved as follows:

Starting with the equation: 5/3x + 11/3 = -4/3

Step 1: Subtract 11/3 from both sides: 5/3x = -4/3 - 11/3
= (-4 - 11)/3
= -15/3

Step 2: Simplify the right side of the equation: 5/3x = -15/3
= -5/1

Step 3: Multiply both sides by the reciprocal of 5/3, which is 3/5. This cancels out the fraction on the left side and simplifies the equation: (3/5)*(5/3)x = (3/5)*(-5/1)
1x = -15/5
x = -3

Therefore, the solution to the equation is x = -3.