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You can put this solution on YOUR website!
If you solve the system below with substitution by using the \"shortest\" route, which step would you get?\r
\n" ); document.write( "\n" ); document.write( "2x + 5y = 10
\n" ); document.write( "x + 3y = 8\r
\n" ); document.write( "\n" ); document.write( "I got:
\n" ); document.write( "5-2.5y + 3y = 8\r
\n" ); document.write( "\n" ); document.write( "Is this correct? Can you help?
\n" ); document.write( "Solve the second equation for x and substitute it into the first equation.
\n" ); document.write( "x+3y-3y=8-3y
\n" ); document.write( "x=8-3y
\n" ); document.write( ":
\n" ); document.write( "2(8-3y)+5y=10 solve for y
\n" ); document.write( "16-6y+5y=10
\n" ); document.write( "16-y=10
\n" ); document.write( "16-16-y=10-16
\n" ); document.write( "-y=-6
\n" ); document.write( "-y/-1=-6/-1
\n" ); document.write( "y=6 Now substitute 6 in for y into the second equation and solve for x.
\n" ); document.write( "x=8-3(6)
\n" ); document.write( "x=8-18
\n" ); document.write( "x=-10
\n" ); document.write( "(x,y)=(-10,6)
\n" ); document.write( "To check your solution, substitute your answer into both equations and see if they balance:
\n" ); document.write( ":
\n" ); document.write( "2x + 5y = 10
\n" ); document.write( "2(-10)+5(6)=10
\n" ); document.write( "-20+30=10
\n" ); document.write( "10=10 Right so far.
\n" ); document.write( ":
\n" ); document.write( "x + 3y = 8
\n" ); document.write( "(-10)+3(6)=8
\n" ); document.write( "-10+18=8
\n" ); document.write( "8=8 We're right!!!
\n" ); document.write( ":
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "