Answer:
x is equal to negative one, and y is equal to negative four.
Step-by-step explanation:
You can do this by solving one of the equations by either x or y, then substituting it into the other. Let's solve the second one for y:
[tex]2y = 3x - 5\\y = \frac{3x - 5}{2}[/tex]
Now we'll substitute that into the first equation:
[tex]9x - 2y = -1\\9x - 2(\frac{3x - 5}{2}) = -1\\9x - 3x + 5 = -1\\6x + 5 = -1\\6x = -6\\x = -1[/tex]
So we now know that x is equal to -1. We can simply substitute that into one of the original equations to find y:
[tex]2y = 3x - 5\\2y = 3(-1) - 5\\2y = -3 - 5\\2y = -8\\y = -4[/tex]
We now know that x is equal to -1, and y is equal to -4. We can also check our answer by plugging that -4 into the other equation, and see if we still get -1:
[tex]9x - 2y = -1\\9x - 2(-4) = -1\\9x + 8 = -1\\9x = -1 - 8\\9x = -9\\x = -1[/tex]
So we know that our answer is correct.
