Question 298812
Set-Up:
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Equation 1: {{{X + Y = 5}}}
Equation 2: {{{45X + 49Y = 237}}}
Solution:
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Solve for one of teh variables in equation 1.  I picked X
Equation 1: {{{X + Y = 5}}}
{{{X = 5 - Y}}}
Now plug (5 - Y) into equation 2 for X
Equation 2: {{{45X + 49Y = 237}}}
{{{45*(5 - Y) + 49Y = 237}}} Simplify
{{{225 - 45Y + 49Y = 237}}} Combine like terms
{{{225 + 4Y = 237}}} Subtract 225 from both sides
{{{4Y = 12}}} Divide both sides by 4
{{{highlight(Y = 3)}}}
To find X, plug 3 into equation 1 for Y
Equation 1: {{{X + Y = 5}}}
{{{X + 3 = 5}}}
{{{highlight(X = 2)}}}
Note that X & Y are variables for time.  To find the distance you need to multiply the time by the rate.
It took 3 hours to drive from Syracus to Albany at a speed of 49mph
{{{Distance = (3cross(hours)/1)*(49miles/1cross(hour))}}}
{{{highlight(Distance = 147miles)}}}