document.write( "Question 175330: Cramers rule Cant find this problem here\r
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document.write( "Solve the system of equation using Cramer's Rule if it is applicable. If Cramer's Rule is not applicable, say so.
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document.write( "Parenthesis 2x+3y=41
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document.write( " 2x-3y=-13\r
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document.write( "A Parenthesis is only in the beginning then the two equations top and bottom..\r
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document.write( "here are the choices I need\r
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document.write( "A. x=7,y=9 B. x=-9,y=7 C. x=-7,y=-9 D. x=9,y=7\r
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document.write( "I think it is B is that correct?
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document.write( "Help \n" );
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Algebra.Com's Answer #130411 by nycsub_teacher(90)![]() ![]() ![]() You can put this solution on YOUR website! Determinants can be used to solve a linear system of equations using Cramer’s Rule.\r \n" ); document.write( "\n" ); document.write( "Cramer’s Rule is used for Two Equations in Two Variables, which is what you have: variables x and y.\r \n" ); document.write( "\n" ); document.write( "2x+3y = 41 \n" ); document.write( "2x-3y = -13\r \n" ); document.write( "\n" ); document.write( "To find the determinant, we use:\r \n" ); document.write( "\n" ); document.write( "D = 2(-3) - 2(3)\r \n" ); document.write( "\n" ); document.write( "D = -6 -6\r \n" ); document.write( "\n" ); document.write( "D = -12\r \n" ); document.write( "\n" ); document.write( "To find x use:\r \n" ); document.write( "\n" ); document.write( "x = Dx/D\r \n" ); document.write( "\n" ); document.write( "We already know D, right?\r \n" ); document.write( "\n" ); document.write( "We need to find Dx.\r \n" ); document.write( "\n" ); document.write( "We find Dx = 41(-3) - 3(-13)\r \n" ); document.write( "\n" ); document.write( "Dx = -123 + 39\r \n" ); document.write( "\n" ); document.write( "Dx = -84\r \n" ); document.write( "\n" ); document.write( "We can now find x.\r \n" ); document.write( "\n" ); document.write( "So, x = -84/-12\r \n" ); document.write( "\n" ); document.write( "Then x = 7\r \n" ); document.write( "\n" ); document.write( "Lastly, we need to find y.\r \n" ); document.write( "\n" ); document.write( "y = Dy/D\r \n" ); document.write( "\n" ); document.write( "We know D to be -12, right?\r \n" ); document.write( "\n" ); document.write( "To find y, we need to first find Dy.\r \n" ); document.write( "\n" ); document.write( "We can find Dy = 2(-13) - 2(41)\r \n" ); document.write( "\n" ); document.write( "Dy = -26 - 82\r \n" ); document.write( "\n" ); document.write( "Dy = -108\r \n" ); document.write( "\n" ); document.write( "We can now find y.\r \n" ); document.write( "\n" ); document.write( "y = -108/-12\r \n" ); document.write( "\n" ); document.write( "y = 9\r \n" ); document.write( "\n" ); document.write( "The solution to the above system of equations in two variables is the point\r \n" ); document.write( "\n" ); document.write( "(7, 9)\r \n" ); document.write( "\n" ); document.write( "The two equations given to you meet or cross each other at the point (7, 9) and so, this is why that particular point is the solution.\r \n" ); document.write( "\n" ); document.write( "Understood?\r \n" ); document.write( "\n" ); document.write( "The answer is choice (A).\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |