document.write( "Question 887924:
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document.write( "When using Cramer’s Rule:  \r\n" );
document.write( "a.	Write the system of equations being solved.\r\n" );
document.write( "b.	Use Cramer’s Rule to set up determinants for the value of y.\r\n" );
document.write( "c       What is the value of x and y \r\n" );
document.write( "e.	What is the solution to the system?\r\n" );
document.write( "f.	Graph the system and indicate the solution\r\n" );
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document.write( "WHAT I GOT?   \r\n" );
document.write( "A. \"system%283x%2B5y=33%2C5x%2B7y=51%29\"\r\n" );
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document.write( "B.\r\n" );
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document.write( "Help please. I am on the right track of solving\r\n" );
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Algebra.Com's Answer #536937 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
You are doing fine!
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Solved by pluggable solver: Using Cramer's Rule to Solve Systems with 2 variables

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\n" ); document.write( " \"system%283%2Ax%2B5%2Ay=33%2C5%2Ax%2B7%2Ay=51%29\"
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\n" ); document.write( " First let \"A=%28matrix%282%2C2%2C3%2C5%2C5%2C7%29%29\". This is the matrix formed by the coefficients of the given system of equations.
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\n" ); document.write( " Take note that the right hand values of the system are \"33\" and \"51\" which are highlighted here:
\n" ); document.write( " \"system%283%2Ax%2B5%2Ay=highlight%2833%29%2C5%2Ax%2B7%2Ay=highlight%2851%29%29\"
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\n" ); document.write( " These values are important as they will be used to replace the columns of the matrix A.
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\n" ); document.write( " Now let's calculate the the determinant of the matrix A to get \"abs%28A%29=%283%29%287%29-%285%29%285%29=-4\". Remember that the determinant of the 2x2 matrix \"A=%28matrix%282%2C2%2Ca%2Cb%2Cc%2Cd%29%29\" is \"abs%28A%29=ad-bc\". If you need help with calculating the determinant of any two by two matrices, then check out this solver.
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\n" ); document.write( " Notation note: \"abs%28A%29\" denotes the determinant of the matrix A.
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\n" ); document.write( " 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 \"A%5Bx%5D\" (since we're replacing the 'x' column so to speak).
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\n" ); document.write( " \"A%5Bx%5D=%28matrix%282%2C2%2Chighlight%2833%29%2C5%2Chighlight%2851%29%2C7%29%29\"
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\n" ); document.write( " Now compute the determinant of \"A%5Bx%5D\" to get \"abs%28A%5Bx%5D%29=%2833%29%287%29-%285%29%2851%29=-24\". Once again, remember that the determinant of the 2x2 matrix \"A=%28matrix%282%2C2%2Ca%2Cb%2Cc%2Cd%29%29\" is \"abs%28A%29=ad-bc\"
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\n" ); document.write( " To find the first solution, simply divide the determinant of \"A%5Bx%5D\" by the determinant of \"A\" to get: \"x=%28abs%28A%5Bx%5D%29%29%2F%28abs%28A%29%29=%28-24%29%2F%28-4%29=6\"
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\n" ); document.write( " So the first solution is \"x=6\"
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\n" ); document.write( " We'll follow the same basic idea to find the other solution. Let's reset by letting \"A=%28matrix%282%2C2%2C3%2C5%2C5%2C7%29%29\" again (this is the coefficient matrix).
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\n" ); document.write( " 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 \"A%5By%5D\" (since we're replacing the 'y' column in a way).
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\n" ); document.write( " \"A%5Bx%5D=%28matrix%282%2C2%2C3%2Chighlight%2833%29%2C5%2Chighlight%2851%29%29%29\"
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\n" ); document.write( " Now compute the determinant of \"A%5By%5D\" to get \"abs%28A%5By%5D%29=%283%29%2851%29-%2833%29%285%29=-12\".
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\n" ); document.write( " To find the second solution, divide the determinant of \"A%5By%5D\" by the determinant of \"A\" to get: \"y=%28abs%28A%5By%5D%29%29%2F%28abs%28A%29%29=%28-12%29%2F%28-4%29=3\"
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\n" ); document.write( " So the second solution is \"y=3\"
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\n" ); document.write( " Final Answer:
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\n" ); document.write( " So the solutions are \"x=6\" and \"y=3\" giving the ordered pair (6, 3)
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\n" ); document.write( " 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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