solve the system using elimination

2x-5y=8
x-3y=-1
please explian step by step

2 answers

double eq #2 and you have

2x-5y = 8
2x-6y = -2

Now subtract #2 from #1 and you eliminate x:

y = 10

Now you can use either equation to find x.
first equation: 2x - 5y = 8
double the 2nd: 2x - 6y = -2
subtract them:
y = 10
back into the original 2nd
x - 3y = -1
x - 30 = -1
x = 29

x = 29, y = 10