<PRE><B>Question 250856</B>
x * 6.99 + y * 10.99 = $331.64


x + y = 36


solve for y in the second equation to get:


y = 36 - x


substitute for y in the first equation to get:


x * 6.99 + (36 - x) * 10.99 = $331.64


simplify by removing parentheses to get:


x * 6.99 + 36*10.99 - x * 10.99 = 331.64


subtract 36*10.99 from both sides of the equation to get:


6.99*x - 10.99*x = 331.64 - 395.64


combine like terms to get:


-4*x = -64


divide both sides by -4 to get:


x = 16


y = 36 - x = 20


you have:


x = 16
y = 20


substitute in original equation.


x * 6.99 + y * 10.99 = $331.64 becomes:


16 * 6.99 + 20 * 10.99 = 331.64 which becomes


111.84 + 219.8 = 331.64 confirming the answers are good.


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