Question

Six stethoscopes and five endoscopes cost $432.15 whereas five stethoscopes and six endoscopes cost $459.73 how much does one stethoscope cost

Answer 1

start by writing the set of equations

`\begin{gathered} 6x+5y=432.15 \\ 5x+6y=459.73 \end{gathered}`

where x represents the stethoscope and y the endoscope.

use the first equation to solve for x

`x=(432.15-5y)/(6)`

insert into the second equation and solve for y

`5\cdot((432.15-5y)/(6))+6y=459.73`