Question 54202
There are two main ways of easily solving these, but you would simply use substitution.
Remember, the {{{y}}} value is equal to {{{3x - 7}}}. You would just put that value in for the second equation.
2x - 5y = 9
2x - 5(3x - 7) = 9
2x - 15x + 35 = 9
-13x = -26
x = 2
Remember: {{{y = 3x - 7}}}
{{{y = 3(2) - 7 = 6 - 7 = -1}}}
Answer: x = 2 and y = -1
You can also solve this by graphing each line:
{{{graph(300,300,-5,5,-5,5,3x - 7,(2x-9)/5)}}}