Reverse PEMDAS
5/3x + 11/3 = -4/3
To solve the equation 5/3x + 11/3 = -4/3 using reverse PEMDAS, we will start by isolating the variable x.
First, subtract 11/3 from both sides to move it to the other side of the equation:
5/3x = -4/3 - 11/3
5/3x = -15/3
Next, we multiply both sides of the equation by the reciprocal of the coefficient of x, which is 3/5:
(3/5)(5/3x) = (3/5)(-15/3)
x = -9/5
Therefore, the solution to the equation is x = -9/5.
To solve the equation 5/3x + 11/3 = -4/3, we'll reverse the order of operations (PEMDAS).
1. Subtract 11/3 from both sides of the equation:
5/3x = -4/3 - 11/3
2. Combine the fractions on the right side of the equation:
5/3x = -15/3
3. Simplify the right side of the equation:
5/3x = -5
4. Divide both sides of the equation by 5/3:
(5/3x)/(5/3) = -5/(5/3)
Simplifying the left side:
x = (-5) / (5/3)
5. To divide by a fraction, we multiply by its reciprocal:
x = -5 * (3/5)
6. Multiply the numerators and denominators:
x = -15/5
7. Simplify the fraction:
x = -3
Therefore, the solution to the equation 5/3x + 11/3 = -4/3 is x = -3.
To solve the equation using the reverse of PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right), follow these steps:
Step 1: Distribute any fractions or values outside the parentheses to the terms inside. In this case, there are no parentheses, so we can skip this step.
Step 2: Combine like terms within the equation. In this case, we have fractions that can be added or subtracted. Let's combine them:
(5/3)x + 11/3 = -4/3
Step 3: To isolate the variable term, subtract 11/3 from both sides of the equation:
(5/3)x = -4/3 - 11/3
(5/3)x = -15/3
Step 4: Simplify the right side:
(5/3)x = -5
Step 5: To solve for x, divide both sides of the equation by 5/3:
(5/3)x / (5/3) = -5 / (5/3)
x = -5 * (3/5)
x = -3
So, the solution to the equation is x = -3.