Given:
4x - y = 4
x + 2y = 2
To find:
We need to find out whether (4,0) is the solution of this system of equations.
Step-by-step solution:
We will firstly solve this system of equations, using the elimination method:
4x - y = 4.......(1)
x + 2y = 2......(2)
We will firstly multiply the equation (1) with 2 and then add both equations.
8x - 2y = 8.......(1)
x + 2y = 2......(2)
Upon adding both equations:
9x = 10
x = 10/9
2y = 2 - 10/9
2y = 8/9
y = 4/9
Final answer:
Thus the ordered pair satisfying the equations is equal to (10/9, 4/9).
Given ordered pair (4,0) does not satisfy the system of equations.