The equation 5/3 + 11/3 = -4/3 is solved as follows. Fill in the correct numbers to complete the solution.
5/3x =______ subtract 11/3 from both sides
x = ______ multiply both sides by 3/5, the reciprocal of 5/3
To solve the equation, we start by subtracting 11/3 from both sides:
5/3 + 11/3 - 11/3 = -4/3 - 11/3
5/3 = -15/3
Now, we multiply both sides by the reciprocal of 5/3, which is 3/5.
(3/5)(5/3) = (3/5)(-15/3)
x = -9/5
To solve the equation 5/3 + 11/3 = -4/3, we can follow these steps:
1. Subtract 11/3 from both sides:
5/3 + 11/3 - 11/3 = -4/3 - 11/3
This simplifies to:
5/3 = -15/3
2. Simplify the left side of the equation:
5/3 can be simplified to 1 and 2/3. Therefore:
1 and 2/3 = -15/3
3. Multiply both sides by the reciprocal of 5/3, which is 3/5:
(1 and 2/3) * (3/5) = (-15/3) * (3/5)
This simplifies to:
(x) = (-15/3) * (3/5)
4. Multiply the numerators and denominators:
(x) = (-45/15)
5. Simplify the fraction:
(x) = (-3/1)
Therefore, the solution to the equation is:
x = -3/1, which can be written as x = -3.
To complete the solution of the equation 5/3 + 11/3 = -4/3, we need to follow the given steps:
Step 1: Subtract 11/3 from both sides:
5/3 + 11/3 - 11/3 = -4/3 - 11/3
This simplifies to:
5/3 = -15/3
Step 2: Solve for x by multiplying both sides by 3/5, the reciprocal of 5/3:
(5/3) * (3/5) = (-15/3) * (3/5)
This simplifies to:
(x) = (-1)
So, the solution of the equation is x = -1.