Table of Contents
- 1 How many solutions are possible for an equation?
- 2 How do you know how many solutions a system of equations has?
- 3 What type of equation is y x 1?
- 4 What is the solution to y = x and X + 2Y = 6?
- 5 How many solutions are there to a linear equation?
- 6 How do you find the solution of a system of equations?
How many solutions are possible for an equation?
A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line). This article reviews all three cases. One solution. A system of linear equations has one solution when the graphs intersect at a point.
How do you know how many solutions a system of equations has?
A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.
How do you know if its infinite solutions or one solution?
We can identify which case it is by looking at our results. If we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x, then we have infinite solutions. If we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have no solutions.
What type of equation is y x 1?
Explanation: It is a linear function.
What is the solution to y = x and X + 2Y = 6?
The correct answer is C. From the graph above, you can see that there is one solution to the system y = x and x + 2y = 6. The solution appears to be (2, 2). However, you must verify an answer that you read from a graph to be sure that it’s not really (2.001, 2.001) or (1.9943, 1.9943).
How many ordered pairs satisfy the equation 1/x + 1/y = 1/n?
Given a positive integer N, the task is to find the number of ordered pairs (X, Y) where both X and Y are positive integers, such that they satisfy the equation 1/X + 1/Y = 1/N. Explanation: Only 3 pairs { (30,6), (10,10), (6,30)} satisfy the given equation. Recommended: Please try your approach on {IDE} first, before moving on to the solution.
How many solutions are there to a linear equation?
Recall that a linear equation graphs as a line, which indicates that all of the points on the line are solutions to that linear equation. There are an infinite number of solutions.
How do you find the solution of a system of equations?
If you have a system of linear equations, the solution for the system is the value that makes all of the equations true. For two variables and two equations, this is the point where the two graphs intersect. The coordinates of this point will be the solution for the two variables in the two equations.