document.write( "Question 59412: Please help with the following problem?\r
\n" ); document.write( "\n" ); document.write( "Question: solve the system of equations algebraically?\r
\n" ); document.write( "\n" ); document.write( "#12. -5x+2y = 8
\n" ); document.write( " y = -3x+26 \n" ); document.write( "
Algebra.Com's Answer #40711 by uma(370)\"\" \"About 
You can put this solution on YOUR website!
The given equations are:
\n" ); document.write( "-5x + 2y = 8
\n" ); document.write( "y = -3x + 26\r
\n" ); document.write( "\n" ); document.write( "Rearranging (adding 3x to both the sides of the above equation) we get..
\n" ); document.write( "3x + y = 26-------------(1)
\n" ); document.write( "-5x + 2y = 8---------------(2)\r
\n" ); document.write( "\n" ); document.write( "I choose to elimonate y.
\n" ); document.write( "(1) multiplied by 2 gives.. 6x + 2y = 52 ------------(3)
\n" ); document.write( " -5x + 2y = 8 ------------(2)\r
\n" ); document.write( "\n" ); document.write( "eqn(3) - eqn (2) gives us..
\n" ); document.write( "6x + 2y -(-5x + 2y) = 52 - 8
\n" ); document.write( "==> 6x + 2y + 5x - 2y = 44 [Removing the parenthesis]
\n" ); document.write( "==> 11x = 44 [Adding the like terms]
\n" ); document.write( "==> x = 4 [dividing by 11 on both the sides]\r
\n" ); document.write( "\n" ); document.write( "Substituting x = 4 in eqn(1) we get..
\n" ); document.write( "3(4) + y = 26
\n" ); document.write( "==> 12 + y = 26
\n" ); document.write( "==> y = 26 - 12 [subtracting 12 from both the sides of the equation]
\n" ); document.write( "==> y = 14\r
\n" ); document.write( "\n" ); document.write( "THus (x, y) = (4, 14)\r
\n" ); document.write( "\n" ); document.write( "Good Luck!!!
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