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

$x=\frac{432.15-5y}{6}$

insert into the second equation and solve for y

$5\cdot(\frac{432.15-5y}{6})+6y=459.73$$undefined$