The correct option is (b) The system of equations does not have a solution.
Step-by-step explanation:
Let us understand this with the help of an example:
Consider the equations:
......(1)
and
......(2)
Now, solve this with the help of substitution method as shown:
The equation (1) can be written as:
x = 1 - y
Substitute x = 1 - y in equation (2).
9(1 - y)+ 9y = 7
9 - 9y + 9y = 7
9 = 7
Which is not true.
There is no mistake in calculation. The both equation are parallel to each other that is why there is no solution for the equation.
Hence, the correct option is (b) The system of equations does not have a solution.
The graph of these two lines is shown as in figure 1.