Question 183829
The total runs scored is 31
The yankees win by 3 runs
If the Yankees score x runs and the Redsox score y runs we get
{{{x+y=31}}}
{{{x-y=3}}}
ADDITION Method
if we add the equations together we get
{{{2x=34}}}
{{{x=17}}}
Substitute back
{{{17-y=3}}}
{{{y=14}}}
SUBSTITUTION METHOD
{{{x+y=31}}}
{{{x-y=3}}}
Solve second equation for x
{{{x=y+3}}}
Substitute into first equation
{{{y+3+y=31}}}
{{{2y+3=31}}}
{{{2y=28}}}
{{{y=14}}}
{{{x=y+3=14+3=17}}}
SUBTRACTION METHOD
{{{x+y=31}}}
{{{x-y=3}}}
Subtract second equation from first
{{{2y=28}}}
{{{y=14}}}
Substitute back
{{{x+14=31}}}
{{{x=17}}}