Find the values of the variables.%0D%0A%0D%0A[−102f−w23]=[2k−20−643]
To find the values of the variables, we need to compare the corresponding coefficients on both sides of the equation.
On the left side, we have:
-102f = 2k
-w = -20
23 = -643
On the right side, we have:
2k = -20
-20 = -20
-643 = -643
By comparing the coefficients, we can determine the values of the variables:
f = -1
k = -10
w = 20
To find the values of the variables in the equation [-102f - w23] = [2k - 20 - 643], we need to isolate the variables on one side of the equation.
Let's break down the equation step by step:
Step 1: Remove the brackets
[-102f - w23] = [2k - 20 - 643]
Step 2: Simplify the equation
-102f - w23 = 2k - 20 - 643
Step 3: Combine like terms
-102f - w23 = 2k - 663
Step 4: Move all terms containing variables to one side and constant terms to the other side
-102f - w23 - 2k = -663 + 20
Step 5: Simplify the constants
-102f - w23 - 2k = -643
Now we have the equation -102f - w23 - 2k = -643. At this point, the equation becomes indeterminate because we have three variables (f, w, k) and only one equation. Without any further information, it is impossible to find the exact values of the variables.
To obtain the values of the variables, we need additional equations or constraints that relate them.
To find the values of the variables, let's solve the equation step-by-step.
Given equation: [−102f−w23] = [2k−20−643]
Step 1: Simplify both sides of the equation.
On the left side, we have −102f−w23.
On the right side, we have 2k−20−643.
Step 2: Continue simplifying.
−102f−w23 = 2k−663
Step 3: Solve for 'f' and 'w'.
Since no information is given about the variables 'f' and 'w', we cannot determine their specific values with this equation alone. The equation is not solvable without more information or additional equations relating to 'f' and 'w'.