k=2c-9d/8
To solve the equation k = 2c - 9d/8, we can follow these steps:
Step 1: Start with the equation k = 2c - 9d/8.
Step 2: If our goal is to solve for one of the variables (in this case, either c or d), we should rearrange the equation so that the variable we want to solve for is isolated on one side of the equation.
Step 3: In this case, we are solving for neither c nor d, but for k. So, we don't need to rearrange the equation itself.
Step 4: However, if we have specific values for c and d, we can substitute them into the equation to find the value of k.
For example, let's say c = 4 and d = 6. Substituting these values into the equation, we get:
k = 2(4) - 9(6)/8
Step 5: Next, we can simplify the equation using the order of operations (PEMDAS/BODMAS). In PEMDAS/BODMAS, we perform the operations inside parentheses/brackets first, followed by exponents, multiplication/division (from left to right), and finally addition/subtraction (from left to right).
k = 2(4) - 54/8
Step 6: Continuing the simplification, we perform the multiplication first:
k = 8 - 54/8
Step 7: Next, we perform the division:
k = 8 - 6.75
Step 8: Finally, we subtract to find the value of k:
k = 1.25
So, when c = 4 and d = 6, k = 1.25.