Question 722809
{{{x}}}= hours mom drove  ---> {{{55x}}}= miles mom drove
{{{y}}}= hours dad drove  ---> {{{60y}}}= miles dad drove
adding up:
{{{x+y=10}}} and {{{55x+60y=580}}}
which make up the system
{{{system(x+y=10,55x+60y=580)}}}
 
To solve by elimination, we could multiply the first equation times 55 to get
{{{55x+55y=550}}} and subtract it from the other equation to get
{{{5y=30}}} --> {{{highlight(y=6)}}}
which can then be plugged into {{{x+y=10}}} to get
{{{x+6=10}}} --> {{{highlight(x=4)}}}