SOLUTION: <pre> When using Cramer�s Rule: {{{matrix(1,3,x,""="",abs(matrix(2,2,33,5,51,7))/abs(matrix(2,2,3,5,5,7)))}}} a. Write the system of equations being solved. b. Use Cramer�s Rul

Question 887924:
When using Cramer�s Rule: a. Write the system of equations being solved. b. Use Cramer�s Rule to set up determinants for the value of y. c What is the value of x and y e. What is the solution to the system? f. Graph the system and indicate the solution WHAT I GOT? A. B. Help please. I am on the right track of solving

Found 3 solutions by Alan3354, Edwin McCravy, richwmiller:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
When using Cramer�s Rule: (33 5
51 7)/ ( 3 5
5 7)
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What does that mean?
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

Some of these tutors don't try to figure anything out! Yes you're doing perfect! Can you do c,e, and f? Edwin

Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
You are doing fine!
What happened to part d?

Solved by pluggable solver: Using Cramer's Rule to Solve Systems with 2 variables

First let . This is the matrix formed by the coefficients of the given system of equations.

Take note that the right hand values of the system are and which are highlighted here:

These values are important as they will be used to replace the columns of the matrix A.

Now let's calculate the the determinant of the matrix A to get . Remember that the determinant of the 2x2 matrix is . If you need help with calculating the determinant of any two by two matrices, then check out this solver.

Notation note: denotes the determinant of the matrix A.

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Now replace the first column of A (that corresponds to the variable 'x') with the values that form the right hand side of the system of equations. We will denote this new matrix (since we're replacing the 'x' column so to speak).

Now compute the determinant of to get . Once again, remember that the determinant of the 2x2 matrix is

To find the first solution, simply divide the determinant of by the determinant of to get:

So the first solution is

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We'll follow the same basic idea to find the other solution. Let's reset by letting again (this is the coefficient matrix).

Now replace the second column of A (that corresponds to the variable 'y') with the values that form the right hand side of the system of equations. We will denote this new matrix (since we're replacing the 'y' column in a way).

Now compute the determinant of to get .

To find the second solution, divide the determinant of by the determinant of to get:

So the second solution is

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Final Answer:

So the solutions are and giving the ordered pair (6, 3)

Once again, Cramer's Rule is dependent on determinants. Take a look at this 2x2 Determinant Solver if you need more practice with determinants.

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