Question

Number of solutions for the pair of linear equations x + y = 0 and x + y = 3 is _​

Answer 1

Answer:

is the answer of your question

Answer 2

There is no possible solution for the pair of linear equations x + y = 0 and x + y = 3.

• We can represent a linear equation as a straight line on the XY plane.
• For a pair of linear equations, the solution will be the common point on which both the two straight lines pass.
• We can write the two linear equations in the slope-intercept form i.e. $y=mx+c$ , where x and y are the X and Y coordinates, m is the slope, and c is the y-intercept: $y=-x$ and $y=-x+3$.
• Here in the question, we can check that the slopes of both lines are the same i.e. -1. So the two lines are parallel to each other. So there doesn't exist any common point by which both the lines pass.  So there is no possible solution for the pair of linear equations.

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