document.write( "Question 1206950: y=5x-13
\n" ); document.write( "5x+2y=19\r
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\n" ); document.write( "I couldnt find substition/systems which is what this problem is \n" ); document.write( "

Algebra.Com's Answer #844683 by ikleyn(52794) $\"\"$ $\"About$

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\n" ); document.write( "y=5x-13
\n" ); document.write( "5x+2y=19
\n" ); document.write( "how can I solve this
\n" ); document.write( "I couldnt find substition/systems which is what this problem is
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document.write( "You have a system of two equations in two unknowns.\r\n" );
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document.write( "First equation expresses y as a linear function of x.\r\n" );
document.write( "In other words, first equation is just ready to make a substitution.\r\n" );
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document.write( "So, we apply the substitution method and replace y in the second equation\r\n" );
document.write( "by its expression from first equation.  We get single equation for x then\r\n" );
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document.write( "    5x + 2*(5x-13) = 19.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    5x + 10x - 26 = 19\r\n" );
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document.write( "    5x + 10x = 19 + 26\r\n" );
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document.write( "       15x   =    45\r\n" );
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document.write( "         x   =    45/15 = 3.\r\n" );
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document.write( "So, x is just found.\r\n" );
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document.write( "To find y, substitute this value of x into very first equation\r\n" );
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document.write( "    y = 5x - 13 = 5*3-13 = 15-13 = 2.\r\n" );
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document.write( "ANSWER.  The solution is  x= 3, y= 2.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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