## How do you know if a simultaneous equation has no solution?

When two equations have the same slope but different y-axis, they are parallel. Since there are no intersection points, the system has no solutions.

## What does it mean when equations have no solution?

No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true. Note that we have variables on both sides of the equation.

**What is the best way to solve simultaneous equations?**

The most common method for solving simultaneous equations is the elimination method which means one of the unknowns will be removed from each equation. The remaining unknown can then be calculated. This can be done if the coefficient of one of the letters is the same, regardless of sign.

### How do you find y in simultaneous equations?

The Elimination Method

- Step 1: Multiply each equation by a suitable number so that the two equations have the same leading coefficient.
- Step 2: Subtract the second equation from the first.
- Step 3: Solve this new equation for y.
- Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.

### How to solve a problem on simultaneous equations?

To solve a problem on simultaneous equations, adopt the following steps: 1 Assume the two variables (unknowns) as and . 2 According to the problem, set up two equations in terms of and . 3 Solve the pair of simultaneous equations by any of the methods that have been explained in this article and the other… More

**What is a simultanous Equation Calculator?**

The simultanous equation calculator helps you find the value of unknown varriables of a system of linear, quadratic, or non-linear equations for 2, 3,4 or 5 unknowns. A system of 3 linear equations with 3 unknowns x,y,z is a classic example. This solve linear equation solver 3 unknowns helps you solve such systems systematically

#### How do you solve two equations at the same time?

That way it is possible to find the only pair of values that solve both equations at the same time. These are known as simultaneous equations. The unknowns of \\ (x\\) and \\ (y\\) have the same value in both equations. This fact can be used to help solve the two simultaneous equations at the same time and find the values of \\ (x\\) and \\ (y\\).

#### Can an equation have more than one solution?

Equations that have more than one unknown can have an infinite number of solutions. For example, \\ (2x + y = 10\\) could be solved by: To be able to solve an equation like this, another equation needs to be used alongside it.