VerifiedHint: In order to make observations we make a suitable graph and plot both the equations on it. Then we check for similarities like common intercepts, intersecting points etc.
Complete Step-by-Step solution:
Given, y = x and y = x + 1.
y = x is a straight line passing through the origin at (0, 0).
y = x + 1, is a straight line as well.
From the figure, they don’t intersect.
Put y = 0, we get x = -1.
y = 1, we get x = 0.
y = 2, we get x = 1.
X = -1, 0, 1
Y= 0, 1, 2
That is at no point the values of X and Y are equal.
Thus, the lines are parallel to each other and have no solution.
Note: In order to solve this type of questions the key is to have adequate knowledge in straight lines, their graphs and their properties. To plot a graph given by an equation, we substitute random values of one variable to determine the other, we plot all such obtained points and join them by a straight line.
