Let's think about the following question:Will a set of two linear equations with two unknowns always have a solution? And if so, will it always be a single solution?Consider the following set of equations: Hint: Try to sketch them graphically. What do you see? How many points of intersection are there? How many points on the line (depicted by the blue x) satisfy the equation? Easier to imagine a as the y axis and b as the x axis so that eqn 1 is 2y + 3 x = -1

A system of linear equations will have Answer 1 Question 1 solutions when the equations intersect.

A pair of linear equations which has a unique solution x = 2, y = -3 is:a.x + y = -1; 2x – 3y = -5b.2x + 5y = -11; 4x + 10y = -22c.2x – y = 1; 3x + 2y = 0d.x – 5y – 14 = 0; 5x – y – 13 = 0

The lines representing the given pair of linear equations are non-intersecting. Which of thefollowing statements is true?

What does it mean if the lines on a graph for a system of three equations are coincident?Question 5Answera.The system has infinitely many solutionsb.The system has a unique solutionc.The system is inconsistentd.The system cannot be determined from the graph

For the given set of linear equations, x - 2y = 2 and 3x - 6y = 0 , what kind of solution do they have?Unique solutionNo solutionInfinite solutionsTwo solutions