Question 4850
Let x = number of apples
y = number of oranges


6x + 3y = $3.36
2x + 5y = $3.04


The easiest way to eliminate a variable is to multiply both sides of the second equation by -3.


6x + 3y = $3.36
-3(2x + 5y) = -3($3.04)


6x + 3y = $3.36
-6x - 15y = -9.12


Add the equations together:
-12y = -5.76


Divide by -12, and get y = $.48 per orange


Substitute y = .48
6x + 3y = $3.36
6x + 3(.48) = 3.36
6x + 1.44 = 3.36
6x = 1.92
x = $.32 per apple


Check both numbers in the second equation:
2x + 5y = $3.04
2(.32) + 5(.48) = 3.04
$.64 + $2.40 = $3.04

It checks!!


R^2 at SCC