SOLUTION: 5x - 2y = 0 and 2x + 5y -21 = 0 Solution: x = 7.2414, y = 2.8965 What work and steps would I use to find the solution?

Algebra ->  Linear-equations -> SOLUTION: 5x - 2y = 0 and 2x + 5y -21 = 0 Solution: x = 7.2414, y = 2.8965 What work and steps would I use to find the solution?       Log On


   

Question 203529: 5x - 2y = 0 and
2x + 5y -21 = 0
Solution: x = 7.2414, y = 2.8965
What work and steps would I use to find the solution?
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
(1) 5x -2y=0,,,mult by (-2),,,-10x +4y =0
(2) 2x+5y=21,,,mult by 5,,,,,,,,10x +25y =105
.
add (1) +(2)
.
0x +29y = 105
y= 105/29 = 3.621
.
subst in (1)
.
5x -2(3.621) =0
5x = 7.241
x=7.241/5 = 1.448
.
check,,,(1) 5(1.448) -2(3.621) =0,,,,,ok
(2) 2(1.448) + 5(3.621) = 21,,,,ok