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.

By distributing the – sign into the brackets we get 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.