document.write( "Question 1130674: Use substitution to solve the system. (Simplify your answer completely. If the system is dependent, enter a general solution in terms of x and y. If there is no solution, enter NO SOLUTION.)\r
\n" ); document.write( "\n" ); document.write( "5x-2 / 4 + 1/2 = 3y+2 / 2\r
\n" ); document.write( "\n" ); document.write( "7y+3 / 3 = x/2 + 7/3 \n" ); document.write( "

Algebra.Com's Answer #747304 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "Use substitution to solve the system. (Simplify your answer completely. If the system is dependent, enter a general solution in terms of x and y. If there is no solution, enter NO SOLUTION.)\r
\n" ); document.write( "\n" ); document.write( "5x-2 / 4 + 1/2 = 3y+2 / 2\r
\n" ); document.write( "\n" ); document.write( "7y+3 / 3 = x/2 + 7/3
\n" ); document.write( "

If this is: , then follow on. 
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document.write( "5x - 2 + 2 = 2(3y + 2) -------- Multiplying eq (i) by LCD, 4
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document.write( "5x = 6y + 4
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document.write( "5x - 6y = 4 ------ eq (iii)\r
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document.write( "2(7y + 3) = 3x + 14 -------- Multiplying eq (ii) by LCD, 6
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document.write( "14y + 6 = 3x + 14 
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document.write( "3x - 14y = - 8 --- eq (iv)
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document.write( "2x + 8y = 12 ------ Subtracting eq (iv) from eq (iii)
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document.write( "2(x + 4y) = 2(6)
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document.write( "x + 4y = 6______x = 6 - 4y ------ eq (v)
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document.write( "5(6 - 4y) - 6y = 4 ------- Substituting 6 - 4y for x in eq (iii)
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document.write( "30 - 20y - 6y = 4
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document.write( "- 26y = - 26
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document.write( "5x - 6(1) = 4 ------- Substituting 1 for y in eq (iii)
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document.write( "5x - 6 = 4
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document.write( "5x = 10
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