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What does the graph of a line represent?
It represents all solutions to the linear equation.
Can a pair of linear equation have exactly two solutions?
No. A pair of linear equation can have 0 solutions (they are parallel), or one solution (they cross at one point) or an infinite number of solutions (they represent the same line).
An equation whose solutions form a straight line on a coordinate plane?
A linear equation.
How do you identify 2 solutions to a linear equation?
A linear equation is that of a straight line. Any one of the infinitely many points on the line will be solutions. If the equation is in terms of the variables x and y, just pick any two values of x, solve for y and the results will be the coordinates of two solutions.
What is 2x-3y equals -2?
This is an equation of a line. There are an infinite number of solutions which are all points on the line. It is a linear equation.
An equation where the graph of all solutions lies on a line?
If it is a straight line, then the equation is linear.
What does the graph of a line represent?
It represents all solutions to the linear equation.
What types of solutions can be found for linear equation?
A linear equation has a n infinite number of solutions. The coordinates of each point on the line is a solution.
Why are linear equation and linear inequalities not solved in the same manner?
Although there are similarities, the solutions to a linear equation comprise all points on one line: a one-dimensional object. The solutions to a linear inequality comprise all points on one side [or the other] of a line: a two-dimensional object.
Can a pair of linear equation have exactly two solutions?
No. A pair of linear equation can have 0 solutions (they are parallel), or one solution (they cross at one point) or an infinite number of solutions (they represent the same line).
An equation whose solutions form a straight line on a coordinate plane?
A linear equation.
How do you identify 2 solutions to a linear equation?
A linear equation is that of a straight line. Any one of the infinitely many points on the line will be solutions. If the equation is in terms of the variables x and y, just pick any two values of x, solve for y and the results will be the coordinates of two solutions.
What is 2x-3y equals -2?
This is an equation of a line. There are an infinite number of solutions which are all points on the line. It is a linear equation.
Why are linear equations called linear equations?
Because, if plotted on a Cartesian plane, all solutions to the equation would lie on a straight line.
How do you solve a linear system?
you have to look at the graph. find where the line crosses the x and y axis' and there is your solutions.
Can a system of linear equations have two solutions?
No. The graph of each linear equation is a straight line, and two or more lines can't all intersect at more than one point. * * * * * Unless all the lines are, in fact, the same line. In that case each point on the line is a solution. That is, there are infinitely many solutions.
Can a linear programming problem have multiple solutions?
Yes. If the feasible region has a [constraint] line that is parallel to the objective function.
