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 113 from both sides.
x=
Multiply both sides by 3/5, the reciprocal of 5/3.
To solve the equation, we can begin by isolating the term with x on one side of the equation.
Starting with:
5/3x + 11/3 = -4/3
To isolate the term with x, we can subtract 11/3 from both sides of the equation:
5/3x = -4/3 - 11/3
Simplifying the right side of the equation:
5/3x = -15/3
Since -4/3 and -11/3 have a common denominator of 3, we can combine them:
5/3x = -15/3
5/3x = -15/3
Now, we can multiply both sides of the equation by the reciprocal of 5/3, which is 3/5, to solve for x:
(3/5) * (5/3)x = (3/5) * (-15/3)
Simplifying the right side of the equation:
(3/5) * (5/3)x = (3/5) * (-15/3)
1x = -45/15
Simplifying the right side of the equation:
x = -45/15
Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 15 in this case:
x = (-45/15) ÷ (15/15)
x = (-45/15) ÷ (1/1)
x = -45/15
Thus, the solution to the equation 5/3x + 11/3 = -4/3 is x = -45/15.