SOLUTION: At what point (x, y) do the following functions intersect (if at all)? 5X + 3Y = 2 and 2.5X + 2Y = 3

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: At what point (x, y) do the following functions intersect (if at all)? 5X + 3Y = 2 and 2.5X + 2Y = 3      Log On


   

Question 782519: At what point (x, y) do the following functions intersect (if at all)? 5X + 3Y = 2 and 2.5X + 2Y = 3
Found 2 solutions by Gogonati, waynest:
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!

Solve the system:system%285x%2B3y=2%2C+5x%2B4y=6%29
the solution is (-2,4)

Answer by waynest(281) About Me  (Show Source):
You can put this solution on YOUR website!
5X + 3Y = 2
-(2(2.5X) + 2(2Y) = 2(3)
5X + 3Y = 2
-(5X + 4Y = 6)
-Y = -4
Y = 4
5X + 3(4) = 2
5X + 12 = 2
5X = 2 -12
5X = -10
X = -2
check:
5(-2) + 3(4) = 2
-10 +12 = 2
2 = 2
2.5(-2) + 2(4) = 3
-5 + 8 = 3
3 = 3