SOLUTION:

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION:       Log On


   



Question 198945:
Answer by pannalal(9) About Me  (Show Source):
You can put this solution on YOUR website!
Given Equations:
[1] 2x + 3y = 4
[2] x + 4y = 5
2x + 3y = 4 ..........(1)
x + 4y = 5 ...........(2)
Multiply Eq(1) by 1 and Eq(2) by 2:
2x + 3y = 4
2x + 8y = 10
Subtracting:
- 5y = -6 ...........(3)
From Eq(3), we get:
y = 6/5 ..............(4)
On Substituting value of y in Eq(1), we get:
2x + 3*6/5 = 4
x = 1/5 ..............(5)
Summary:
x = 1/5
y = 6/5