We have two linear equations
3x - 2y = 7 -------- equation 1
6x - 4y = 14 -------- equation 2
These system linear equations can be solve simultaneously either by using the elimination method or substitution method
Let us try the elimination method
3x - 2y = 7
6x - 4y = 14
Firstly, let us eliminate x
To eliminate x , we need to make the value of x equal in both equations
To make the value of x equal, mulitply equation 1 by 2 and equation 2 by 1
3x * 2 - 2y * 2 = 7 x 2
6x * 1 - 4y * 1 = 14 x 1
6x - 4y = 14 -------- equation 3
6x - 4y = 14 ------- equation 4
To eliminate x, substract equation 4 from 3
6x - 6x -4y -(-4y) = 14 - 14
6x - 6x -4y + 4y = 14 - 14
0 - 0 = 0
0 = 0
From the above explanation, we can conclude that the system linear equations does not have a solution
The answer is OPTION A
