document.write( "Question 118926: four oranges and five apples cost $3.56.three oranges and four apples cost $2.76.find the cost of an orange and the cost of an apple.
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #87058 by MathLover1(20855) $\"\"$ $\"About$

You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "if $\"four\"$ $\"+oranges=x\"$ and $\"five\"$ $\"+apples=y\"$ cost $ $\"3.56\"$ , then we have:\r
\n" ); document.write( "\n" ); document.write( " $\"4x+%2B+5y+=3.56\"$ \r
\n" ); document.write( "\n" ); document.write( " if $\"three\"$ $\"+oranges=x\"$ and $\"four\"$ $\"+apples=y\"$ cost $ $\"2.76\"$ , then we have:\r
\n" ); document.write( "\n" ); document.write( " $\"3x+%2B+4y+=2.76\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "solve the system:\r
\n" ); document.write( "\n" ); document.write( "I will solve it by addition.\r
\n" ); document.write( "\n" ); document.write( " $\"4x+%2B+5y+=3.56\"$ ..........multiply both sides by $\"3\"$
\n" ); document.write( " $\"3x+%2B+4y+=2.76\"$ ..........multiply both sides by $\"-4\"$
\n" ); document.write( "-------------------\r
\n" ); document.write( "\n" ); document.write( " $\"cross%2812x%29+%2B+15y+=10.68\"$ ....
\n" ); document.write( "+ $\"cross%28-12x%29+-+16y+=+-+11.04\"$ ....
\n" ); document.write( "-----------------------------------\r
\n" ); document.write( "\n" ); document.write( " $\"15y+-+16y+=+10.68+-+11.04\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"-y+=+-+0.36\"$ .........multiply both sides by $\"-1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y+=+0.36\"$ .........\r
\n" ); document.write( "\n" ); document.write( "now find $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"4x=3.56+-+5y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=+3.56%2F4+-+5%280.36%29%2F4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=+0.89+-+1.25%280.36%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=+0.89+-+0.45\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"x=+0.44\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( " $\"4%280.44%29+%2B+5%280.36%29+=3.56\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"1.76%2B+1.8+=3.56\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3.56+=3.56\"$
\n" ); document.write( " \n" ); document.write( "

\n" );