True or false: Whenever two equations in a system have the same coefficient for one of the variables, the elimination method is a good choice for solving.

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

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Q: How can I check a solution to a system of equations using substitution?

A: Solve one of the equations for either x or y. Substitute the solution from step 1into the other…

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: What is a system of linear equations in three variables?

A: A system of linear equations with three unknown variables is called a system of linear equations in…

Q: Give a general description of how to use the substitution method to solve a system of two linear…

A: To describe the use of: Substitution method to solve system of two linear equations of two…

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: Give a general description of how to use the elimination by-addition method to solve a system of two…

A: We divide/ multiply our equation to get matching term, and by matching, we mean that when those two…

Q: When solving a system of equation and all the variables add to zero and the resulting statement is…

A: When solving a system of equation and all the variables add to zero and the resulting statement is…

Q: 3. Is the point (5, 3) a solution to the system of equations below? You must show correct work to…

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Q: A nurse wishes to prepare a 15-ounce topical antiseptic solution containing 3% hydrogen peroxide. To…

A: Given:The total amout of tropical antiseptic solution is 15- Ounce.The amount of hydrogen peroxide…

Q: A system of four linear equations in three unknowns is always inconsistent. Is this true or false?

A: The given statement is, “A system of four linear equations in three unknowns is always…

Q: There exists a system of three linear equations with three unknowns that has exactly four solutions.…

A: There exists a system of three linear equations with three unknowns that has exactly four solutions.…

Q: What is the solution to this system: * 2.

A: The two lines intersect at (2,3)  So, the solution of the system is, (2, 3)

Q: A system of linear equations with fewer equations than unknowns is sometimes called an…

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Q: Describe in general terms how to solve a system in three variables.

A: The  system in three variables is solved by two methods. 1. Substitution method. 2. Elimination…

Q: If a system of equations is solved by graphing, the solution might be approximate. True O False

A: Given: Statement: If a system of equations is solved by graphing, the solution might be approximate.

Q: Without using any algebra, it’s obvious that the nonlinear system consisting of x2 + y2 = 4 and x2 +…

A: From the nonlinear system of equations, x2+y2=4x2+y2=22 This is a circle with radius 2.…

Q: Find the general solution of the given system of equation.

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Q: If a system of equations has fewer equations than unknowns, then it has infinitely many solutions.

A: If a system of equations has fewer equations than unknowns, then it has infinitely many solutions.…

Q: If a system of equations has fewer equations than unknowns, then it has infinitely many solutions. A…

A: Given that a system of equation has fewer equation  than unknowns

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: Find the general solution of the given system of equations.

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Q: What is the solution of the system of equations shown?

A: The two lines intersecting at a point is the solution of the system of equation.

Q: Verify that the values of the variables listed are solutions of the system of equations.

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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: Consider a system of linear equations in two variables in which the solution set {(x,x + 2) | x is…

A: Given,A system of linear equations in two variables in which the solution set {(x, x + 2) | x is any…

Q: Is it possible for a system of two linear equations in two variables to have exactly two solutions?…

A: Is it possible for a system of two linear equations in two variables to have exactly two solutions?

Q: Explain the procedure presented in this section to solve a system of linear equations in three…

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Q: substitution or elimination method 4y-5x=-23 2x+3y=-23

A: Given , system of linear equation is 4y-5x=-23-5x+4y=-235x-4y=23-iand 2x+3y=-23-iiwe have gto…

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

A: By definition,“Inconsistent system: A system of linear equations with no common solution because…

Q: To solve a system of equations using the addition method, one of the variables must have the same or…

A: Answer -  True.

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

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Q: How many solutions can a system of 3 linear equations with 5 variables have? Select all that could…

A: Let there be three linear equations in five variables,…

Q: True or false? A system of linear equations in three variables may have exactly one solution.

A: Equation in three variables represents a plane.So the three planes may intersect at only one…

Q: Is it possible for a system of equations composed of a linear function and a quadratic function to…

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Q: 2. Explain when each of these three Methods should be used to solve systems of equations and some…

A: Graphical , substitution and elimination are the three ways to solve systems of equations.

Q: If a system of equations produces 0=0 by the elimination method, it has no solutions. O True O False

A: System of equations have solution of three types 1. One solution If X = a1 and Y = a2 , where a1 and…

Q: If the real solutions to a system of equations are the points at which the graphs intersect, what…

A: If the real solutions to a system of equations are the points at which the graphs intersect  We have…

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

A: The given graph:

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

A: Topic to be described- How to found system of two linear equations with 2 variables have no…

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

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Q: A system of linear equations in x and y can represent two intersecting lines, two parallel lines, or…

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Q: Can a system of two linear equations have exactly two solutions? Why or why not? Yes, straight lines…

A: A straight line is the line with a single slope and no bends. The straight line does not change its…