document.write( "Question 34635This question is from textbook Prealgebra & Introductory Algebra
\n" ); document.write( ": Solve the system by the substitution method.\r
\n" ); document.write( "\n" ); document.write( "4x+y=16
\n" ); document.write( "16x+4y=64 \n" ); document.write( "

Algebra.Com's Answer #20907 by askmemath(368) $\"\"$ $\"About$

You can put this solution on YOUR website!
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
\n" ); document.write( " $\"+system%28+%0D%0A++++4%5Cx+%2B+1%5Cy+=+16%2C%0D%0A++++16%5Cx+%2B+4%5Cy+=+64+%29%0D%0A++\"$ We'll use substitution. After moving 1*y to the right, we get:
\n" ); document.write( " $\"4%2Ax+=+16+-+1%2Ay\"$ , or $\"x+=+16%2F4+-+1%2Ay%2F4\"$ . Substitute that
\n" ); document.write( " into another equation:
\n" ); document.write( " $\"16%2A%2816%2F4+-+1%2Ay%2F4%29+%2B+4%5Cy+=+64\"$ and simplify: So, we know that y=0=0. Since $\"x+=+16%2F4+-+1%2Ay%2F4\"$ , x=4.
\n" ); document.write( "
\n" ); document.write( " Answer: $\"system%28+x=4%2C+y=0=0+%29\"$ .
\n" ); document.write( "

\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hope this helps. \n" ); document.write( "

\n" );