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

Respuesta :

start by writing the set of equations

[tex]\begin{gathered} 6x+5y=432.15 \\ 5x+6y=459.73 \end{gathered}[/tex]

where x represents the stethoscope and y the endoscope.

use the first equation to solve for x

[tex]x=\frac{432.15-5y}{6}[/tex]

insert into the second equation and solve for y

[tex]5\cdot(\frac{432.15-5y}{6})+6y=459.73[/tex][tex]undefined[/tex]