document.write( "Question 1150186: Solve the following system of equations using substitution. y = 2 x- 2 -4x-y = 26 \n" ); document.write( "
Algebra.Com's Answer #771551 by ikleyn(52802)\"\" \"About 
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document.write( "    y = 2x - 2     (1)\r\n" );
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document.write( "    -4x - y = 26   (2)\r\n" );
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document.write( "You are lucky !!  They just expressed \"y\" via \"x\" in the first equation,\r\n" );
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document.write( "and all you need is to substitute this expression y = 2x-2 from the first equation to the second.\r\n" );
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document.write( "By doing it, you get from the second equation\r\n" );
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document.write( "    -4x - (2x-2) = 26.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    -4x - 2x + 2 = 26\r\n" );
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document.write( "    -6x          = 26 - 2\r\n" );
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document.write( "    -6x          = 24\r\n" );
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document.write( "      x          = \"24%2F%28-6%29\" = -4.\r\n" );
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document.write( "Now, when you just know x, substitute its value into equation (1).  You will get\r\n" );
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document.write( "    y = 2*(-4) - 2 = -8 - 2 = -10.\r\n" );
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document.write( "ANSWER.  x= -4,  y= -10.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "It is how the SUBSTITUTION method works in this case.\r
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\n" ); document.write( "\n" ); document.write( "My lessons in this site on solving systems of two linear equations in two unknowns  (Algebra-I curriculum)  are\r
\n" ); document.write( "\n" ); document.write( "    - Solution of the linear system of two equations in two unknowns by the Substitution method \r
\n" ); document.write( "\n" ); document.write( "    - Solution of the linear system of two equations in two unknowns by the Elimination method \r
\n" ); document.write( "\n" ); document.write( "    - Solution of the linear system of two equations in two unknowns using determinant \r
\n" ); document.write( "\n" ); document.write( "    - Geometric interpretation of the linear system of two equations in two unknowns \r
\n" ); document.write( "\n" ); document.write( "    - Useful tricks when solving systems of 2 equations in 2 unknowns by the Substitution method \r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Systems of two linear equations in two unknowns\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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