# Question: How Do You Know If Two Equations Have No Solution?

## What is the solution to the system of equations 2x y 7 y 2x 3?

All you have to do to solve this equation is plug the equation you have that already is manipulated for y.

Y=2X+3 and substitute it into the equation for y in the first equation, 2x-y=7.

So it becomes 2x-(2x+3)=7.

## What does 0 0 mean in a equation?

2 Answers. Wataru. . If you end with 0=0 , then it means that the left-hand side and the right-hand side of the equation are equal to each other regardless of the values of the variables involved; therefore, its solution set is all real numbers for each variable.

## What is the value of 0 by 0?

0/0 is undefined. If substituting a value into an expression gives 0/0, there is a chance that the expression has an actual finite value, but it is undefined by this method.

## What is the condition of no solution?

Two lines ax+by+c=0 and mx+ny+p=0 have no solution if they are parallel and not intersecting, and the condition is.

## What is the solution to the system of equations?

A solution to a system of equations means the point must work in both equations in the system. So, we test the point in both equations. It must be a solution for both to be a solution to the system.

## What is an equation with no solution called?

A set of equations with no solutions is called inconsistent if there is no simultaneous solution for the set.

## Is 0 0 infinite or no solution?

For an answer to have an infinite solution, the two equations when you solve will equal 0=0 . … If you solve this your answer would be 0=0 this means the problem has an infinite number of solutions. For an answer to have no solution both answers would not equal each other.

## How do you know if a quadratic equation has infinite solutions?

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.

## Is it possible to have a system of equations that has more than one solution?

There can be more than one solution to a system of equations. A system of linear equations will have one point of intersection, or one solution. To graph a system of equations that are written in standard form, you must rewrite the equations in slope -intercept form.

## When a system of equations has no solution?

A system has no solution if the equations are inconsistent, they are contradictory. for example 2x+3y=10, 2x+3y=12 has no solution. is the rref form of the matrix for this system.

## How do you know if two equations have a solution?

When both equations have the same slope, but not the same y-intercept, they’ll be parallel to each other and no intersections means no solutions. When both equations have different slopes than regardless of the y-intercept they’ll intersect for certain, therefore it has exactly one solution.

## How many solutions does the pair of equations y 0 and y =- 5 have?

Both the lines y = 0 and y = -5 are parallel to x-axis. Hence they do not have solution.

## Which equation has no solution 4x 2 =- 6?

Answer: Option A) |4x – 2| = – 6 has no solution. Since left hand side of function is in modulus, so it will always gives positive values but right hand side is – 6 , So, there are no values of x that make the equation true.

## How do you tell if a system of equations has no solution or infinitely many?

A system has no solutions if the lines are parallel. When solving the system, if you get a false statement (a number equal to a different number) this means there are no solutions.

## Which linear equations have an infinite number of solutions?

When we graph systems of equations, the intersection of the lines is the solution. If a system has infinitely many solutions, then the lines overlap at every point. In other words, they’re the same exact line! This means that any point on the line is a solution to the system.

## How do you know if an equation has no solution?

Summary. If the equation ends with a false statement (ex: 0=3) then you know that there’s no solution. If the equation ends with a true statement (ex: 2=2) then you know that there’s infinitely many solutions or all real numbers.

## Which equation has only one solution?

When a does not equal c, we use inverse operations to solve the linear equation: We see that this is the only value of x that satisfies the equation, so the equation has only one solution. When a = c and b does not equal d, we can rewrite the equation ax + b = cx + d as ax + b = ax + d.

## What is an example of one solution?

This is the normal case, as in our example where the equation 2x + 3 = 7 had exactly one solution, namely x = 2.