document.write( "Question 698435: I have so much trouble with matrices, I wish I could be better at them. I'm trying to solve the system.\r
\n" ); document.write( "\n" ); document.write( "I have the system:
\n" ); document.write( "{3x + 2y = -6
\n" ); document.write( "{2x - 3y = 61\r
\n" ); document.write( "\n" ); document.write( "I converted the system into a matrix equation:
\n" ); document.write( "|3, 2|
\n" ); document.write( "|2,-3|\r
\n" ); document.write( "\n" ); document.write( "Find the determinate:
\n" ); document.write( "(3*-3)-(2*2)
\n" ); document.write( "-13\r
\n" ); document.write( "\n" ); document.write( "So since I got -13, it would appear as 1/-13. right?
\n" ); document.write( "After getting that, I changed matrix equation into:
\n" ); document.write( "|-3,-2|
\n" ); document.write( "|-2, 3|\r
\n" ); document.write( "\n" ); document.write( "And I'm stuck here. It's probably hard to comprehend what I'm trying to say, but please help me with the rest of the problem.
\n" ); document.write( "

Algebra.Com's Answer #430653 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
I have so much trouble with matrices, I wish I could be better at them. I'm trying to solve the system.\r
\n" ); document.write( "\n" ); document.write( "I have the system:
\n" ); document.write( "{3x + 2y = -6
\n" ); document.write( "{2x - 3y = 61\r
\n" ); document.write( "\n" ); document.write( "I converted the system into a matrix equation:
\n" ); document.write( "|3, 2|
\n" ); document.write( "|2,-3|\r
\n" ); document.write( "\n" ); document.write( "Find the determinate: (determinant)
\n" ); document.write( "(3*-3)-(2*2)
\n" ); document.write( "-13\r
\n" ); document.write( "\n" ); document.write( "So since I got -13, it would appear as 1/-13. right? *** Doesn't matter.
\n" ); document.write( "After getting that, I changed matrix equation into:
\n" ); document.write( "|-3,-2|
\n" ); document.write( "|-2, 3| **** that's not useful.
\n" ); document.write( "=================================
\n" ); document.write( "Use the augmented matrix.
\n" ); document.write( "|3, 2 6|
\n" ); document.write( "|2,-3 -61|
\n" ); document.write( "------------
\n" ); document.write( "Block the x column
\n" ); document.write( "|+2 6|
\n" ); document.write( "|-3 -61|
\n" ); document.write( "--> 2*-61 + 18 = -104
\n" ); document.write( "x = -104/Det = 8
\n" ); document.write( "===================
\n" ); document.write( "|3, 2 6|
\n" ); document.write( "|2,-3 -61|
\n" ); document.write( "Block the y column
\n" ); document.write( "|3 6|
\n" ); document.write( "|2,- 61|
\n" ); document.write( "--> 3*-61 - 12 = 195
\n" ); document.write( "-y = -195/-13 (not the minus sign)
\n" ); document.write( "y = -15
\n" ); document.write( "===================
\n" ); document.write( "And I'm stuck here. It's probably hard to comprehend what I'm trying to say, but please help me with the rest of the problem.
\n" ); document.write( "
\n" );