document.write( "Question 1003625: We are doing systems of nonlinear equations in two variables. So solving with either the addition method or substitution method. The problem is solve the systems log x^2=y+3 log x=y-1. I don't know what to do with the logs. If the logs were not there I would solve with the substitution method, I would solve for y in x=y-1,y=x+1. Plug that into the x^2 problem. A log is log 10^1. I'm stuck. \n" ); document.write( "
Algebra.Com's Answer #620311 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "We are doing systems of nonlinear equations in two variables. So solving with either the addition method or substitution method. The problem is solve the systems log x^2=y+3 log x=y-1. I don't know what to do with the logs. If the logs were not there I would solve with the substitution method, I would solve for y in x=y-1,y=x+1. Plug that into the x^2 problem. A log is log 10^1. I'm stuck.
\n" ); document.write( "
\"log+%28x%5E2%29+=+y+%2B+3+\"
\n" ); document.write( "\"10%5E%28y+%2B+3%29+=+x%5E2\" ----------- Converting to EXPONENTIAL form -------- eq (i)\r
\n" ); document.write( "\n" ); document.write( "\"log+x+=+y+-+1\"
\n" ); document.write( "\"10%5E%28y+-+1%29+=+x\" ------------- Converting to EXPONENTIAL form --------- eq (ii)\r
\n" ); document.write( "\n" ); document.write( "\"10%5E%28y+%2B+3%29+=+%2810%5E%28y+-+1%29%29%5E2\" ------ Substituting \"10%5E%28y+-+1%29\" for x in eq (i)
\n" ); document.write( "\"10%5E%28y+%2B+3%29+=+10%5E%282y+-+2%29\"
\n" ); document.write( "y + 3 = 2y – 2 ----------- Bases are equal and so are the exponents
\n" ); document.write( "y – 2y = - 2 – 3
\n" ); document.write( "- y = - 5
\n" ); document.write( "y = \"%28-+5%29%2F%28-+1%29\", or 5\r
\n" ); document.write( "\n" ); document.write( "\"10%5E%285+-+1%29+=+x\" --------- Substituting 5 for y in eq (ii)
\n" ); document.write( "\"10%5E4+=+x\", or x = 10,000\r
\n" ); document.write( "\n" ); document.write( "Solution set: \"highlight_green%28system%28x+=+10000%2Cy+=5%29%29\" \n" ); document.write( "
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