document.write( "Question 397982: can you please explain how you work these out. i would be gratful if you show your working out clearly so that i understand it.\r
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document.write( "2) multiply and simplify :\r
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document.write( "x(2x+8)-x(x-3)\r
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document.write( "2π(R^2 -r ^2)\r
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document.write( "factorise common factor:\r
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document.write( "20x - 35
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document.write( "2x^2 +6
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document.write( "12y^2 - 4YX+20x^2Y
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document.write( "2πrh + 2πr^2\r
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document.write( "solve the follwoing equations\r
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document.write( "2(x-1)=3
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document.write( "7r+2=5(r-4)\r
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document.write( "Solve simultaneous equations algebraically and draw a graph.\r
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document.write( "a)Y = 2x
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document.write( "Y= x + 5\r
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document.write( "b)3x + y = 13
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document.write( "2x – 3y = 6\r
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document.write( "c)2x + 3y = 7
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document.write( "3x – 2y = 17\r
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Algebra.Com's Answer #281993 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! multiply and simplify : \n" ); document.write( "x(2x+8)-x(x-3) \n" ); document.write( "= 2x^2+8x-x^2+3 \n" ); document.write( "= x^2+8x+3 \n" ); document.write( "--------------------------------------- \n" ); document.write( "2π(R^2 -r ^2) \n" ); document.write( "= 2(pi)(R-r)(R+r) \n" ); document.write( "--------------------------------------- \r \n" ); document.write( "\n" ); document.write( "Factorise common factor: \n" ); document.write( "20x - 35 = 5(4x-7) \n" ); document.write( "-------------------------- \n" ); document.write( "2x^2 +6 = 2(x^2+3) \n" ); document.write( "-------------------------- \n" ); document.write( "12y^2 - 4YX+20x^2Y \n" ); document.write( "= 4(3y^2-xy+5x^2) \n" ); document.write( "-------------------------- \n" ); document.write( "2πrh + 2πr^2 = 2(pi)r(h+r) \n" ); document.write( "-------------------------- \n" ); document.write( " \n" ); document.write( "solve the following equations \n" ); document.write( "2(x-1)=3 \n" ); document.write( "(x-1) = 3/2 \n" ); document.write( "x = 1+(3/2) \n" ); document.write( "x = 5/2 \n" ); document.write( "-------------------------- \n" ); document.write( "7r+2=5(r-4) \n" ); document.write( "7r+2 = 5r-20 \n" ); document.write( "2r = -22 \n" ); document.write( "r = -11 \n" ); document.write( "-------------------------- \n" ); document.write( "Solve simultaneous equations algebraically and draw a graph. \n" ); document.write( "a)Y = 2x \n" ); document.write( "Y= x + 5 \n" ); document.write( "--- \n" ); document.write( "Substitute for y and solve for \"x\": \n" ); document.write( "2x = x + 5 \n" ); document.write( "x = 5 \n" ); document.write( "--- \n" ); document.write( "Then y = 2x = 2*5 = 10 \n" ); document.write( "Solution (5,10) \n" ); document.write( " \n" ); document.write( "-------------------------------------------- \n" ); document.write( "b)3x + y = 13 \n" ); document.write( "2x – 3y = 6 \n" ); document.write( "--- \n" ); document.write( "Multiply thru the 1st equation by 3 to get: \n" ); document.write( "9x+3y = 39 \n" ); document.write( "2x-3y = 6 \n" ); document.write( "---- \n" ); document.write( "Add and solve for \"x\": \n" ); document.write( "11x = 45 \n" ); document.write( "x = 45/11 \n" ); document.write( "------ \n" ); document.write( "Solve for \"y\": \n" ); document.write( "3x + y = 13 \n" ); document.write( "3(35/11) + y = 13 \n" ); document.write( "(105/11) + y = (13*11/11) \n" ); document.write( "y = 38/11 \n" ); document.write( "--= \n" ); document.write( " \n" ); document.write( "--------------------------------------------------------\r \n" ); document.write( "\n" ); document.write( "c)2x + 3y = 7 \n" ); document.write( "3x – 2y = 17 \n" ); document.write( "--- \n" ); document.write( "Multiply thru 1st by 3. \n" ); document.write( "Multiply thru 2nd by 2. \n" ); document.write( "--- \n" ); document.write( "6x + 9y = 21 \n" ); document.write( "6x - 4y = 34 \n" ); document.write( "--- \n" ); document.write( "Subtract and solve for \"y\": \n" ); document.write( "-13y = 13 \n" ); document.write( "y = -1 \n" ); document.write( "--- \n" ); document.write( "Solve for \"x\": \n" ); document.write( "2x+3y = 7 \n" ); document.write( "2x+3(-1) = 7 \n" ); document.write( "2x = 10 \n" ); document.write( "x = 5 \n" ); document.write( "---------- \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "==================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |