Table of Contents

## What are some real life examples of inequalities?

**Which is a correct first step in solving 5 2x 8x 3?**

Which is a correct first step in solving 5 ” 2x

< 8x " 3? Step 1: Subtract 3 from both sides of the inequality.

**What is the missing step in solving the inequality 5 8x 2x 3?**

Add 2x to both sides of the inequality. Subtract 8x from both sides of the inequality. Subtract 2x from both sides of the inequality.

### Which equation has no solution?

The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation.

**Which equation has only one solution?**

options d has only one solution because zero neither be positive nor be negative so that it’s value always became unique .

**What makes a system have 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. The row of 0’s only means that one of the original equations was redundant. The solution set would be exactly the same if it were removed.

b = 8 will cause the system to have an infinite number of solutions.

**How do you know if an equation has one solution without graphing?**

if the slopes are equal and the y-intercepts are equal, the equations describe the same line and the solution is infinitely many points. if the slopes are equal and the y-intercepts are not equal, the two lines do not intercept and have no points in common.

**What is an example of infinitely many solutions?**

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 solve linear equations without graphing?

To solve a system of linear equations without graphing, you can use the substitution method. This method works by solving one of the linear equations for one of the variables, then substituting this value for the same variable in the other linear equation and solving for the other variable.

**How did you determine if the given ordered pair is a solution of the system?**

To determine if an ordered pair is a solution to a system of two equations, we substitute the values of the variables into each equation. If the ordered pair makes both equations true, it is a solution to the system.

**Which ordered pair is a solution to the system?**

Ordered pairs (x,y) that work in both equations are called solutions to the system of equations. They represent the intersection points of the two lines. Thus a system has one solution, no solutions, or infinitely many solutions. If an ordered pair is a solution, it must work in both equations.

### How do you solve ordered pair is a solution?

Note: To figure out if an ordered pair is a solution to an equation, you could perform a test. Identify the x-value in the ordered pair and plug it into the equation. When you simplify, if the y-value you get is the same as the y-value in the ordered pair, then that ordered pair is indeed a solution to the equation.

**What is the solution of 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. Hope this helps.

**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.

There are three possible outcomes for a system of linear equations: one unique solution, infinitely many solutions, and no solution.

**What is the definition of solution of a system?**

A solution for a single equation is any point that lies on the line for that equation. A solution for a system of equations is any point that lies on each line in the system.

**What is the solution in a math problem?**

A value, or values, we can put in place of a variable (such as x) that makes the equation true.

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