When using the addition or substitution method, how can you tell if a system of two linear equations in two variables has no solution? What is the relationship between the graphs of the two equations? Use an example to illustrate your ex- planation.

Q: Explain why a system of two equations with three variables cannot have exactly one ordered triple as…

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Q: List the different scenarios for the possible number of solutions that a system of two linear…

A: A linear equation is basically an equation for straight line with the representation of y=mx+c.

Q: What are the 2 methods to solving a system of linear equations by graphing by hand?

A: We need to find the method of solving a system of linear equations by graphing by hand. Let's start.

Q: Find the solution to the linear system of

A: The given linear system of a differential equation is  x'=-37x+120yy'=-12x+39y Also, the initial…

Q: Which of the following methods does one use for solving a system of linear equations?

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Q: Give an example of a linear system that has no solution.

A: The system of linear equation can have many solutions, one solution and no solutions. The linear…

Q: When using the addition or substitution method, how can you tell if a system of linear equations has…

A: To check whether linear system of equation  has no solution or not, if we are solving by…

Q: When is it easier to use the addition method rather than the substitution method to solve a system…

A: When the given system of equations consists of a variable with same coefficient and opposite sign,…

Q: If the solution to a linear system of equations is x=6 and y= 2 and you graphed the two equations,…

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Q: Describe what happens when using algebraic methods to solve a system with dependent equations.

A: To determine what happens when using algebraic methods to solve a system with dependent equation.

Q: If a system of linear equations has infinite solutions, what will the graph look like?

A: Here, we need to find what will the graph look like if a system of linear equations has infinite…

Q: When graphing a system of equations with one solution, the alopes of the two lines will be______.…

A: Given that the system of equations has only one solution.  This means the lines will intersect at…

Q: What is the solution of the system of equations graphed below?

A: Here the graph of two straight lines is given

Q: Explain how to solve a nonlinear system using the substitution method.Use x2 + y2 = 9 and 2x - y = 3…

A: Given: The non-linear system is: x2+y2=9 and 2x-y=3 We have to solve the given system by using the…

Q: Why do systems of equations sometimes have no solution?

A: We have to use properties of system of linear equations to to find out solution

Q: What is a system of linear equations in the variables x, y, and z?

A: We have to find the system of linear equations in the variables x, y, and z. We know the linear…

Q: How will your answers be written when solving a system of equations by any method

A: Explanation of the solution is given below...

Q: Draw a second line on the groph in order to demonstrate a system of equations with one solution .…

A: When two lines intersect at one point then they have unique solution

Q: Describe a situation in which the addition method is an efficient technique to solve a system of…

A: Situation:For two positive numbers, sum of their squares = 74 and subtraction of their squares= 24.…

Q: When will-a system of equations have no solutions? * Your answer

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Q: What is the solution to the following system of equations?

A: We can find the solution of the graph as below.

Q: Find the ordered pair solutions to the system of nonlinear equations given by: 2 - y = 4 2 2 = 4

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Q: Describe four ways of solving a system of three linearequations containing three variables. Which…

A: Solution:To describe  four ways of solving a system of three linear equations containing three…

Q: How do you decide whether to solve a system of linear equations in two variables by using the…

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Q: When solving a system of linear equations in two variables using the substitution or addition…

A: Consider the system of equation in two variables as shown below.

Q: What is the solution to the system of equations graphed below?

A: Solution to equation.

Q: How many solutions are there to a system of linear equations if the lines are perpendicular and they…

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Q: Which of the iterative methods of solving systems of linear algebraic equations do you prefer? Why?

A: We have a lot of methods to solve the linear algebraic system. The choices may differ from person to…

Q: he

A: To find if graphing system of equations with infinitely more solutions, the slopes of the two lines…

Q: Make a question with a complete solution Solving linear systems having infinitely many solutions

A: We make a question & solution for   Solving linear systems having infinitely many solutions.

Q: Which of the direct methods of solving systems of linear algebraic equations do you prefer? Why?

A: Topic :- Algebra

Q: Profits, P, are equal to sales, S, minus expenses, E. If expenses are equal to travel, T, plus…

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Q: how

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Q: What is the solution to the system of the two equations?

A: Given data:   The first point in the graph is (x1, y1)=(0,4). The second point in the graph is (x2,…

Q: True or false: Whenever two equations in a system have the same coefficient for one of the…

A: There are methods other than elimination method. i.e. matrix method, Simultaneous method.

Q: When graphing a system of equations with no solution, the slopes of the two will be________. ¿The…

A: As per given by the question, When graphing a system of equation with no solution, the slope of the…

Q: If you attempt to solve a system of linear equations algebraically and both variables cancel out,…

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Q: what is meant by system of nonlinear equations?

A: A system of two or more equations having two or more variables containing at least one equation that…

Q: How do I solve a system of linear equations in two variables using substitution?

A: A system of linear equations in two variables is of the form             ax+by=mcx+dy=n

Q: When solving a system of linear equations by graphing, the system’s solution is determined by…

A: Given that : When solving a system of linear equations by graphing, the system’s solution is…

Q: What is the solution to the system?

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Q: Suppose you graph a system of linear equations. if a point is on only one of lines, is it a solution…

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Q: why a linear system always has more than one solution, if the constant terms are zero and there are…

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Q: 1. y = -1 y = 2x - 7 %3D

A: Plot the graphs using x and y-intercepts and the point where the two graphs intersect is the…

Q: When graphing a system of equations with no solutionthe y-intercept of the two lines will be_______.…

A: If a system of equations has no solution, then the equations do not intersect. This means there will…

Q: When using the addition or substitution method, how can you tell if a system of two linear equations…

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