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.
5/3x+11/3=−4/3
5/3x= -4/3 - 11/3
5/3x= -15/3
x= (-15/3) * (3/5)
x= -45/15
x= -3/1
So, the solution is x= -3/1 or x= -3.
The equation can be solved as follows:
5/3x + 11/3 = -4/3
Subtract 11/3 from both sides:
5/3x = -4/3 - 11/3
5/3x = -15/3
Now, we need to divide both sides by 5/3. To do this, we multiply both sides by the reciprocal of 5/3, which is 3/5:
(5/3x) * (3/5) = (-15/3) * (3/5)
x = -45/15
Simplifying the right side gives us:
x = -3
So the solution to the equation is x = -3.
To solve the equation 5/3x + 11/3 = -4/3, follow these steps:
Step 1: Isolate the term containing x on one side of the equation:
Subtract 11/3 from both sides:
5/3x = -4/3 - 11/3
Step 2: Simplify the right side of the equation:
-4/3 - 11/3 = -15/3
Step 3: Simplify the left side of the equation:
There's no need to simplify the left side since we want to keep it in the form 5/3x.
Step 4: Solve for x:
Multiply both sides by the reciprocal of 5/3, which is 3/5, to isolate x:
(3/5) * (5/3x) = (3/5) * (-15/3)
The multiplication of the fractions is as follows:
On the left side: (3/5) * (5/3x) = (3 * 5) / (5 * 3) * (1/x) = 15/15x = 1/x
On the right side: (3/5) * (-15/3) = (3 * -15) / (5 * 3) = -45/15 = -3
So the equation becomes:
1/x = -3
Therefore, x = -1/3.