# How do you determine if an equation is true?

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## How do you determine if an equation is true?

To make a true equation, check your math to make sure that the values on each side of the equals sign are the same. Ensure that the numerical values on both sides of the “=” sign are the same to make a true equation. For example, 9 = 9 is a true equation. 5 + 4 = 9 is a true equation.

### How do you tell if an equation has no real solution?

Look At The Discriminant. The first way to tell if a quadratic has no real solution is to look at the discriminant. If the discriminant is negative, then the quadratic equation has no real solution. The discriminant is the expression b2 – 4ac under the radical in the quadratic formula.

#### What is a number that makes an equation true?

Any number that makes the equation true is called a solution of the equation.

How do you know if an equation has one solution no solution or infinitely many solutions?

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.

What is an equation that is not true for even one real number called?

This would be an example of a conditional equation, because we came up with one solution. An inconsistent equation is an equation with one variable that has no solution.

## How do you determine the number of real solutions?

The discriminant is the expression b2 – 4ac, which is defined for any quadratic equation ax2 + bx + c = 0. Based upon the sign of the expression, you can determine how many real number solutions the quadratic equation has.

### What is an example of no solution?

When a problem has no solution you’ll end up with a statement that’s false. For example: 0=1 This is false because we know zero can’t equal one. We see this is a false statement because 20 does not equal 5. So, we say this problem has no solution.

#### What do you call an equation with no solution?

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

Is the equation 4 x 3 9 true?

Example 4 x + 3 = 9 is true only if the literal number x = 6. Example 5 3x – 4 = 11 is true only if x = 5. The literal numbers in an equation are sometimes referred to as variables.

How to solve 3X + 4 = 2x + 9 equation?

Solution for 3x+4=2x+9 equation: Simplifying 3x + 4 = 2x + 9 Reorder the terms: 4 + 3x = 2x + 9 Reorder the terms: 4 + 3x = 9 + 2x Solving 4 + 3x = 9 + 2x Solving for variable ‘x’. Move all terms containing x to the left, all other terms to the right.

## How to simplify 2x + 9 to 5x + 4?

Simplifying 2x + 9 = 5x + 4 Reorder the terms: 9 + 2x = 5x + 4 Reorder the terms: 9 + 2x = 4 + 5x Solving 9 + 2x = 4 + 5x Solving for variable ‘x’. Move all terms containing x to the left, all other terms to the right.

### When are two equations have the same solution?

Two equations are equivalent if they have the same solution or solutions Example 12 3x = 6 and 2x + 1 = 5 are equivalent because in both cases x = 2 is a solution. Techniques for solving equations will involve processes for changing an equation to an equivalent equation.

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