Answer :
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.
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.