Use gaussian elimination to solve the system of equations x5

Use gaussian elimination to solve the system of equations.

x+5y=38.7

4x-2y=-1.4

x+5y=38.7 ----(1)

4x-2y=-1.4 -----(2)

Multiply equation (1) by 4:

4x + 20y = 154.8

4x - 2y = -1.4

--------------------(subtract)

22y = 156.2

y = 7.1

substitute value of y in equation 1 to get y :

x = 38.7 - 5*7.1 = 3.2

( x, y) = ( 7.1 , 3.2)