Respuesta :
[tex]\begin{gathered} 2x+6y=32 \\ 2x+10y=48 \end{gathered}[/tex]
the system of equations above represent the question, we need to solve the system in order to know the number of eggs necessary for each dessert
x is the number of eggs used to make the chocolate souffle.
y is the number of eggs used to make lemon meringue pies.
First, we need to multiply the second equation with -1 so we have
[tex]-2x-10y=-48[/tex]we will sum the first equation with the equation above
[tex]\begin{gathered} -4y=-16 \\ y=\frac{-16}{-4}=4 \\ y=4 \end{gathered}[/tex]we substitute the value of y in the first equation
[tex]\begin{gathered} 2x+6(4)=32 \\ 2x+24=32 \\ 2x=32-24 \\ 2x=8 \\ x=\frac{8}{2} \\ x=4 \end{gathered}[/tex]A chocolate souffle requires 4 eggs and a lemon meringue pie requires 4 eggs.
