The answer to your question would be solve with elimination, as it would be the easiest method.
We will multiply the first equation by 4, so we can eliminate the y variable.
#1 [tex]4(2x-y) = 4(-1)[/tex]
#2 [tex]8x-4y=-4[/tex]
After simplifying, we can use Linear Combination method to solve for the variables, which is adding both equations.
Linear Combination:
#1 ([tex]8x-4y=-4[/tex]) + ([tex]5x+4y=17[/tex])
#2 [tex]13x = -13
[/tex]
#3 [tex]x = -1 [/tex]
After this, you can plug in x into the first equation, to find y:
#1 [tex]2(-1)-y=-1[/tex] (Simplify)
#2 [tex]1-y=-1[/tex]
#3 [tex]-y=-2[/tex]
#1 [tex]y=2[/tex]
Now we have our solution ordered pair, which is (-1, 2). Hooray!!
