document.write( "Question 368978: Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.
\n" ); document.write( "8y + 2x = 48
\n" ); document.write( "2x = 4y – 12 \n" ); document.write( "

Algebra.Com's Answer #262939 by lefty4ever26(59) $\"\"$ $\"About$

You can put this solution on YOUR website!
You need to solve one of the problems for one of the variables.
\n" ); document.write( "I chose to solve the 2nd equation for x.
\n" ); document.write( "2x=4y-12 Divide both sides by 2.
\n" ); document.write( "x=2y-6 Now you have the value of x. Plug (2y-6) into your x value in the first equation and solve for y.\r
\n" ); document.write( "\n" ); document.write( "8y+2x=48
\n" ); document.write( "8y+2(2y-6)=48
\n" ); document.write( "8y+4y-12=48
\n" ); document.write( "12y-12=48 Add 12 to both sides
\n" ); document.write( "12y=60 Divide both sides by 12
\n" ); document.write( "y=5 So we have the y value. Plug it back into one of the equations to solve for x. I chose the second equation\r
\n" ); document.write( "\n" ); document.write( "2x=4y-12
\n" ); document.write( "2x=4(5)-12 Solve for x
\n" ); document.write( "2x=20-12
\n" ); document.write( "2x=8
\n" ); document.write( "x=4
\n" ); document.write( "So the solution to the system of equations is (4,5).
\n" ); document.write( "Hope this helps! \n" ); document.write( "

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