document.write( "Question 71964This question is from textbook algebra
\n" ); document.write( ": 2x-3y=7
\n" ); document.write( "y=3x-7 substitution equations\r
\n" ); document.write( "\n" ); document.write( "i am stuck please help \n" ); document.write( "

Algebra.Com's Answer #51458 by Earlsdon(6294) $\"\"$ $\"About$

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Solve the system of equations by substitution:
\n" ); document.write( "1) $\"2x-3y+=+7\"$
\n" ); document.write( "2) $\"y+=+3x-7\"$ Substitute this for y in equation 1) and solve for x.
\n" ); document.write( "1a) $\"2x-3%283x-7%29+=+7\"$ Simplify and solve for x. Apply the distributive property.
\n" ); document.write( " $\"2x-9x%2B21+=+7\"$ Notice the change of sign (- to +) on the last term! Now combine like-terms.
\n" ); document.write( " $\"-7x+%2B+21+=+7\"$ Subtract 21 from both sides.
\n" ); document.write( " $\"-7x+=+-14\"$ Divide both sides by -7.
\n" ); document.write( " $\"x+=+2\"$ Now substitute this value of x into either one of the two original equations and solve for y. Using equation 2):
\n" ); document.write( " $\"y+=+3%282%29-7\"$
\n" ); document.write( " $\"y+=+6-7\"$
\n" ); document.write( " $\"y+=+-1\"$
\n" ); document.write( "The solution is: (2, -1)
\n" ); document.write( "Here's the graph:
\n" ); document.write( " $\"graph%28300%2C200%2C-5%2C5%2C-5%2C5%2C%282%2F3%29x-%287%2F3%29%2C3x-7%29\"$
\n" ); document.write( "Notice that the solution to this system of equations is the point of intersection of the two lines represented by the two equations. \n" ); document.write( "

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