Answer:
The system of equation has infinite number of solution.
u = k and x = (3-k)/2 where k is any real number.
Step-by-step explanation:
Given the system of equation:
2u + 4x = -6 ................ 1
u + 2x = 3 ................... 2
From equation 2;
u = 3 - 2x ....... 3
Substitute equation 3 into 1;
From 1;
2u + 4x = -6
2(3-2x)+4x = -6
6 - 4x + 4x = -6
6 = -6
Since we cannot find the value of x, this means that the equation has infinite number number of solution.
We can let u = k
Substitute u = k into equation 3;
u = 3- 2x
k = 3-2x
2x = 3 - k
x = (3-k)/2