the equation 5/3x + 11/3 = -4/3 is solved as followed 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 5/3x + 11/3 = -4/3, we can follow the steps as provided:
1. Subtract 11/3 from both sides:
5/3x + 11/3 - 11/3 = -4/3 - 11/3
5/3x = -15/3
2. Simplify both sides:
5/3x = -5
3. Multiply both sides by the reciprocal of 5/3, which is 3/5:
(5/3x)(3/5) = -5(3/5)
x = -15/5
4. Simplify the right side:
x = -3
Therefore, the solution to the equation is x = -3.
To solve the equation 5/3x + 11/3 = -4/3, we can follow these steps:
Step 1: Subtract 11/3 from both sides of the equation, so we have:
5/3x + 11/3 - 11/3 = -4/3 - 11/3
5/3x = -15/3
Step 2: Simplify the right side of the equation:
5/3x = -5
Step 3: To isolate x, multiply both sides of the equation by the reciprocal of 5/3, which is 3/5:
(5/3x) * (3/5) = -5 * (3/5)
x = -15/5
x = -3
Thus, the solution to the equation 5/3x + 11/3 = -4/3 is x = -3.
To solve the equation 5/3x + 11/3 = -4/3, we need to follow a series of steps. Let's break it down:
1. Start with the equation: 5/3x + 11/3 = -4/3.
2. To isolate the variable x, the first step is to subtract 11/3 from both sides of the equation. This step is done to move the constant term to the other side of the equation, leaving only the variable term on the left side:
(5/3x + 11/3) - 11/3 = (-4/3) - 11/3.
Simplifying both sides of the equation:
5/3x = (-4/3) - 11/3.
5/3x = -15/3.
3. Now, we need to isolate x by getting rid of the fraction on the left side. To do that, we can multiply both sides of the equation by the reciprocal of 5/3, which is 3/5. This will cancel out the fraction on the left side:
(5/3x) * (3/5) = (-15/3) * (3/5).
Simplifying further:
(5 * 3 / 3 * 5) * x = -15 * 3 / 3 * 5.
(15/15) * x = -45/15.
4. By simplifying the equation:
(1) * x = -3.
5. Thus, we can conclude that x = -3.
The completed solution to the equation 5/3x + 11/3 = -4/3 is x = -3.