document.write( "Question 87497This question is from textbook Intermediate Algebra
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document.write( ": Can you please help me with these two problems I would appreciate it.
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document.write( "Solve each system by substitution, if possible. If a system is inconsistent or if the equations are dependent, so indicate.
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document.write( "2x-y=-21
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document.write( "4x+5y=7
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document.write( "and
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document.write( "Solve the system of equations using the addition (elimination) method.
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document.write( "-7x+y=8
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document.write( "2x-y=2\r
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document.write( "Thank you in advance I really appreciate it. \n" );
document.write( "
Algebra.Com's Answer #63434 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Solve each system by substitution, if possible. If a system is inconsistent or if the equations are dependent, so indicate. \n" ); document.write( "2x-y=-21 \n" ); document.write( "4x+5y=7 \n" ); document.write( "--------- \n" ); document.write( "Multiply the 1st equation by 2 to get: \n" ); document.write( "4x-2y = -42 \n" ); document.write( "Subtract from 4x+5y=7 to get: \n" ); document.write( "7y = 49 \n" ); document.write( "y = 7 \n" ); document.write( "-------- \n" ); document.write( "Substitue to solve for x, as follows: \n" ); document.write( "2x-7 = -21 \n" ); document.write( "2x = -14 \n" ); document.write( "x=-7 \n" ); document.write( "----------- \n" ); document.write( "Solution: x=-7; y=7 \n" ); document.write( "==========================\r \n" ); document.write( "\n" ); document.write( "Solve the system of equations using the addition (elimination) method. \n" ); document.write( "-7x+y=8 \n" ); document.write( "2x-y=2 \n" ); document.write( "---------- \n" ); document.write( "Add the two equations to eliminate the y terms: \n" ); document.write( "-5x = 10 \n" ); document.write( "x = -2 \n" ); document.write( "------------ \n" ); document.write( "Substitute and solve for y, as follows: \n" ); document.write( "-7*-2+y=8 \n" ); document.write( "y=-6 \n" ); document.write( "----------- \n" ); document.write( "Check in the other equation: \n" ); document.write( "-7*-2+-6 = 8 \n" ); document.write( "8=8 \n" ); document.write( "================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |