Question 1070055
x one-point questions
y of three point each
z of five point each


Account for the total points.
{{{x+3y+5z=120}}}


Account for quantity of questions.
{{{x+y+z=44}}}


Last part of the description:
{{{y=2x-10}}}



--

You might use any method you are comfortable with.  Immediate substitution for y seems like a good way to go; and then simplify the remaining two equations.