There are three possible outcomes for a system of linear equations: one unique solution, infinitely many solutions, and no solution. This video shows an example of each type of outcome.
Q. Which graph shows a system with an infinite number of solutions?
Answer Expert Verified Graph C is the correct answer as it shows the two lines constantly intercepting each other, creating an infinite number of solutions.
Table of Contents
- Q. Which graph shows a system with an infinite number of solutions?
- Q. Which graph shows a system with no solutions?
- Q. What are the three different types of solutions for a system of equations?
- Q. Which graph below shows a system of equations with infinitely many solutions?
- Q. What happens when everything cancels out in a system of equations?
- Q. What is the solution to a system of equations?
- Q. How do you tell if a system of equations has infinitely many solutions?
Q. Which graph shows a system with no solutions?
Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines, there can be no solution. This is called an “inconsistent” system of equations, and it has no solution.
- Step 1: Graph the first equation.
- Step 2: Graph the second equation on the same coordinate system as the first.
- Step 3: Find the solution.
- Step 4: Check the proposed ordered pair solution in BOTH equations.
- Step 1: Graph the first equation.
- Step 2: Graph the second equation on the same coordinate system as the first.
Q. What are the three different types of solutions for a system of equations?
Q. Which graph below shows a system of equations with infinitely many solutions?
Answer: C)coordinate plane with two coinciding lines has infinitely many solution.
Q. What happens when everything cancels out in a system of equations?
1 Expert Answer If both x and y are going to cancel out, then you have either no solution or infinitely many solutions. If the constant on the right are going to cancel out (same number with opposite signs) then there are infinitely many solutions (same line).
Q. What is the solution to a system of equations?
A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. The solution to the system will be in the point where the two lines intersect.
Q. How do you tell if a system of equations has infinitely many solutions?
An equation can have infinitely many solutions when it should satisfy some conditions. The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line.
