Answer:
(2,0)
Explanation:
5x + 9y = 10
4x -3y = 8 If I multiple this second equation all the way through by 3, then the y's would cancel out when I add the equations together.
12x -9y = 24 multiplied the second equation through by 3
5x + 9y = 10 Add the 2 equations together
17x = 34 Divide both sides by 14
x = 2
Plug 2 in for x for either of the two original equations and solve for y
5x + 9y = 10
5(2) + 9y = 10
10 + 9y = 10 Subtract 10 from both sides
9y = 0 Divide both sides by 0
y = 0
(2,0)