# What are the 3 solutions to linear equations?

## What are the 3 solutions to linear equations?

A system of linear equations can have 3 types of solutions.

• Unique Solution of a system of linear equations.
• No Solution.
• Infinite Many Solutions.
• Solutions for Linear Equations in One Variable.
• Solutions for Linear Equations in Two Variables.

Can an equation have 3 solutions?

A cubic function. One thing you should always remember is that the degree of a function tells us the number of zeroes, or solutions, it has. If you want an equation with 3 solutions, then you should have an equation with a degree of 3, which is a cubic function.

### What are the 3 solutions in math?

You can have 3 different type of answers: One Solution. No Solution. Infinite Solution.

What are 3 types of solutions for system of equations?

There are three types of systems of linear equations in two variables and three types of solutions.

• An independent system has exactly one solution pair (x,y) . The point where the two lines intersect is the only solution.
• An inconsistent system has no solution.
• A dependent system has infinitely many solutions.

#### How many solutions does a linear equation have?

A linear equation has 3 types of solutions. They are: 1) One solution. 2) Infinitely many solutions.

How many solutions are there to the equation?

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.

## What is the 3 solution?

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How many solutions does linear equation have?

A system of linear equations usually has a single solution, but sometimes it can have no solution (parallel lines) or infinite solutions (same line).

### How do you solve system of three equations?

Solve the system of the two new equations using the Addition/Subtraction method. Substitute the solution back into one of the original equations and solve for the third variable. Check by plugging the solution into one of the other three equations. Example: Solve the following system: 4x – 3y + z = – 10. 2x + y + 3z = 0.

How to solve 3 system of equations?

Pick two pairs: 4 x – 3 y+z = – 10 2 x+y+3 z = 0 and

• Eliminate the same variable from each system: 4x – 3y+z = – 10 2x+y+3z = 0 4x – 3y+z = – 10
• Solve the system of the two new equations: -5y – 5z = – 10 5y – 7z = 34 -12z = 24 Thus,z = – 2 -5y – 5
• #### What are the three systems of linear equations?

Passengers check in at Hanoi Railway Station. (Photo: SGGP) Not exploiting the full capacity On the SE8 train from HCMC to Hanoi on November 3, according to the reporter of the SGGP Newspaper, rail car No.2 has 52 seats but only has ten passengers

How do you solve linear equations?

Graphical Method

• Elimination Method
• Substitution Method
• Cross Multiplication Method
• Matrix Method
• Determinants Method