# How to create an equation with infinitely many solutions

### What is the equation with infinitely many solutions?

An

**equation**can have**infinitely many solutions**when it should satisfy some conditions. 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.### How do you make a solution with infinite solutions?

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 does it mean when an equation has infinite solutions?

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.### How do you tell if an equation has no solution one solution or infinite solutions?

### What is the formula for no solution?

Case 2. If (a

_{1}/a_{2}) = (b_{1}/b_{2}) ≠ (c_{1}/c_{2}), then there will be**no solution**. This type of equation is called an inconsistent pair of linear equations.### 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. Therefore we can conclude that the problem has**no solution**.### How do you know if two equations have no solution?

Solve the first

**equation**. Solve the second**equation**.**If**we substitute these**two solutions**back to the original**equation**, the results are positive answers and can never be equal to negative one. The answer**is no solution**.### 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**. Here is a problem that has an**infinite**number of**solutions**. If you solve this your answer would be**0=0**this means the problem has an**infinite**number of**solutions**.### What are two equations that have no solutions?

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 infinite solution look like?

An

**infinite solution**has both sides equal. For example, 6x + 2y – 8 = 12x +4y – 16. If you simplify the equation using an**infinite solutions**formula or method, you’ll get both sides equal, hence, it is an**infinite solution**.### How do you know if a system has infinite solutions?

A

**system**of linear equations**has infinite solutions when**the graphs are the exact same line.### What is an example of one solution?

Linear Equations With

**one Solution** On solving we have 7x = 35 or x = 5. The above linear equation is only true if x = 5 and hence the given linear equation has only **one solution** i.e. x = 5. **Example** 2: Consider the equation 9(x – 1) – 35 = 8x + 37. On solving we have 9x – 9 – 35 = 8x + 37.

### How many solution does each equation have?

If solving an equation yields a statement that is true for a single value for the variable, like x = 3, then the equation has

**one solution**. If solving an equation yields a statement that is always true, like 3 = 3, then the equation has infinitely many solutions.### How do you simplify in math?

**Here are the basic steps to follow to**

**simplify**an algebraic expression:- remove parentheses by multiplying factors.
- use exponent rules to remove parentheses in terms with exponents.
- combine like terms by adding coefficients.
- combine the constants.

### What happens when an equation is 0 0?

If the elimination produces the

**equation 0=0**, then the two**equations**are for the same line. This means that there are an infinite number of solutions.### What is the solution to a system of equations?

A

**system**of linear**equations**contains two or more**equations**e.g. y=0.5x+2 and y=x-2. The**solution**of such a**system**is the ordered pair that is a**solution**to both**equations**. The**solution**to the**system**will be in the point where the two lines intersect.### What are the 3 methods for solving systems of equations?

There are

**three**ways**to solve systems**of linear**equations**: substitution, elimination, and graphing. Let’s review the steps for each**method**.### What are the three possible solutions to a system of equations?

There are

**three possible**outcomes for a**system**of linear**equations**: one unique**solution**, infinitely many**solutions**, and no**solution**.### What is the solution to the following system of equations 3x 2y 12?

All points on line

**3x**–**2y**=**12**are solutions. Both**equations**are the same**equation**, so there is an infinite number of solutions. All points on line**3x**–**2y**=**12**are solutions.### What is the solution to the system of equations 3x 2y 39 5x y 13?

Answer: The

**solution**of the given**system**is (5,12).### What is a two equation system?

A linear

**system**of**two equations**with**two**variables is any**system**that can be written in the form. A solution to a**system**of**equations**is a value of x and a value of y that, when substituted into the**equations**, satisfies both**equations**at the same time. For the example above x=**2**and y=−1 is a solution to the**system**.### How do you solve an equation with 2 variables?

In a

**two**–**variable**problem rewrite the**equations**so that when the**equations**are added, one of the**variables**is eliminated, and then**solve**for the remaining**variable**. Step 1: Multiply**equation**(1) by -5 and add it to**equation**(**2**) to form**equation**(3) with just one**variable**.