Question 805615
nickels=x dimes=y
{{{x+y=11 coins}}}
{{{5x+10y=85cents}}}
solve the irst equation to equal y
{{{y=11-x}}}
now plug this into the other equation
{{{5x+10(11-x)=85}}}
{{{5x+110-10x=85}}}
{{{-5x+110=85}}}
{{{-5x=-25}}}
{{{x=5}}}
plug x into {{{x+y=11}}}
5+y=11
y=6
There are 5 nickels and 6 dimes.
Now check your answer
{{{5x+10y=85}}}
{{{5(5)+10(6)=85}}}
{{{25+60=85}}}
{{{85=85}}}