exam Maths Puzzle Numerical Ability

I need to set up a 3 by 3 system of linear equations and solve it for the following problem.


A movie theater charges $8 for adults, $4.50 for children, and $6 for senior cit

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How do i solve this:

Factor:
a^2+a+3a+3
PLease help to solve

x + 2y + z = 7
3x - y + z = -12
4x + 3y - 2z = 9