document.write( "Question 81452: Solve the system by substitution.
\n" ); document.write( " 3x – y = –7
\n" ); document.write( " x + y = –9
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Algebra.Com's Answer #58358 by mathdoc316(9)\"\" \"About 
You can put this solution on YOUR website!
Step 1: Isolate one variable, using one of the equations
\n" ); document.write( "Step 2: Substitute that into the other equation to eliminate the variable
\n" ); document.write( "Step 3: Solve that resulting equation for the remaining variable
\n" ); document.write( "Step 4: Solve for the variable that was eliminated
\n" ); document.write( "Step 5: Check the solution\r
\n" ); document.write( "\n" ); document.write( "Step 1 will be easy here if we use the 2nd equation, \"x%2By=-9\", to isolate a variable. It could easily be x or y. Let's just do x since it doesn't matter that much.\r
\n" ); document.write( "\n" ); document.write( "\"x+=+-9-y\"\r
\n" ); document.write( "\n" ); document.write( "Step 2: Substitute that expression for x into the first equation
\n" ); document.write( "\"3x+-+y+=+-7\"
\n" ); document.write( "\"x+=+-9-y\"
\n" ); document.write( "\"3+%2A+%28-9-y%29+-+y+=+-7\"\r
\n" ); document.write( "\n" ); document.write( "Step 3: Simplify and solve for y
\n" ); document.write( "\"+-27+-+3y+-+y+=+-7\"
\n" ); document.write( "\"+-27+-+4y+=+-7+\"
\n" ); document.write( "Add 27 to both sides
\n" ); document.write( "\"+-4y+=+20+\"
\n" ); document.write( "Divide both sides by -4
\n" ); document.write( "\"+y+=+-5+\"\r
\n" ); document.write( "\n" ); document.write( "Step 4: Find x
\n" ); document.write( "\"+x+=+-9+-+y\"
\n" ); document.write( "\"+x+=+-9+-+%28-5%29+=+-4+\"\r
\n" ); document.write( "\n" ); document.write( "Step 5: Check the solution
\n" ); document.write( "\"+x+=+-4\", \"y+=+-5+\"
\n" ); document.write( "\"+3%2Ax+-+y+=+-7+\"
\n" ); document.write( "\"+x+%2B+y+=+-9+\"
\n" ); document.write( "\"+3+%2A+-4+-+%28-5%29+=+-12+%2B+5+=+-7+\" YES
\n" ); document.write( "\"x+%2B+y+=+-4+%2B+%28-5%29+=+-9+\" YES
\n" ); document.write( "The solution is correct\r
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