algebra
posted by Anonymous .
Solveing using the addition method
5x9y=19
8x7y=9

1st times 8 > 40x  72y = 152
2nd times 5 > 40x  35y = 45
add them
 107y = 107
y = 1
back into 1st:
5x + 9 = 19
5x = 10
x = 2 
We can solve x or y, so I'll pick y. Let's get rid of x by multiplying the top equation by 8 and the bottom equation by 5:
8(5x  9y = 19)
5(8x  7y = 9)
40x  72y = 152
40x  35y = 45

.... 107y = 107
.........y = 1
I'll let you take it from here to figure out the value of x. Check solutions with the original equations. It always helps to check your work!
I hope this will help get you started.