x - the number of sessions
y - the cost
The system of equations:
[tex]y=61+32x \\
y=66+27x[/tex]
The solution:
[tex]y=61+32x \\
y=66+27x \\ \\
\hbox{substitute 61+32x for y in the 2nd equation:} \\
61+32x=66+27x \\
32x-27x=66-61 \\
5x=5 \ \ \ |\div 5 \\
x=1 \\ \\
y=61+32x \\
y=61+32 \times 1 \\
y=61+32 \\
y=93 \\ \\
(x,y)=(1,93)[/tex]
For 1 session, the cost is €93 on either plan.