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

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

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

Consider the system of linear equations.2y=x+103y=3x+15Which statements about the system are true? Choose three correct answers.ResponsesThe equations graph the same line.The equations graph the same line.The system has one solution.The system has one solution.The solution is the intersection of the 2 lines.The solution is the intersection of the 2 lines.Both lines have the same y-intercept.Both lines have the same y -intercept.Both lines have the same slope.Both lines have the same slope.The system graphs parallel

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

A system of equations has 1 solution. If 4x−y=5 is one of the equations, which could be the other equation?Responsesy=−4x+5y is equal to negative 4 x plus 52y=8x−102 y is equal to 8 x minus 10y=4x−5y is equal to 4 x minus 5−2y=−8x−10