What does a system of two linear equation in two variables represent? Explain graphically all the possible solutions for the system of two equation in two variables. What will the system look like if it is extended to three equations in three variables?

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

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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: The sum of $12000 is invested in three mutual funds that pay 4%,6.5%, and 8% annual interest rates.…

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Q: What is the solution of the system of equations 3x + y = -11 and y = 2x + 9? O (1, -4) O (-1, 4) O…

A: Substitute y=2x+9 in 3x+y=-11 then solve it.

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: what would the solution of the system of equations and what would the interpret solution appears to…

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Q: If a system of two nonlinear equations contains one equation whose graph is a circle and another…

A: Given: One equation is a circle. Other equation is a parabola. To check: This system has exactly one…

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: When using the substitution or elimination method to solve a system of two equations, you end up…

A: Here we discuss about system of equation.

Q: The sum of 2 numbers is 64, and their difference is 14. What system of equations would model this…

A: It is given that sum of two numbers is 64 and difference is 14.

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: If a system of linear equations has no solution, then the system is said to be __________.

A: If a system of linear equations has no solution, then the system is said to be inconsistent.

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: Samson is working on solving the linear equation in two variable for 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: A system of two linear equations in two variables can have one solution,. solution, or solutions.

A: To fill: The blanks of the statement:. Given: The statement is "A system of linear equations in two…

Q: What is the difference between a system of linear equations and a system of nonlinear equations?

A: To find: -

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: What is the solution of the system of linear equations using the gaussian elimination method?

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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: Given a homogeneous system of linear equations, if the system is overdetermined, what are the…

A: Given: An overdetermined homogeneous system of linear equations.

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: True or false? A system of linear equations in three variables may have no solution.

A: True or false? A system of linear equations in three variables may have no solution.

Q: Company A charged with $50 fee plus $7 per cap, and Company B charges $30 fee plus $9 per cap.…

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Q: When graphing a system of equations with infinitely many solutions, the y-intercept of the two lines…

A: If a system of equations has infinitely many solutions, then the lines overlap. This means both…

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

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Q: What is the solution of a system of linear equations?

A: Ordered pairs are a fundamental part of graphing. Ordered pairs make up functions on a graph, and…

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: How many solutions will this system have?

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Q: Sol Lushen, a chemistry student, has two solutions, solution A and solution B.  Solution A contains…

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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: Given the system of equations

A: Given, the system of equations                            4a-2b+11c+3d=206a+3b-2c+15d=25…

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

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Q: What is the solution to the linear system?

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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: Why system of equations is called autonomous ?

A: The differential equation that van be said to be autonomous because the rule does not watch what…

Q: What can you conclude about a system of equations if the corresponding reduced row-echelon form…

A: Given:

Q: How many solutions does the system of equations below have?

A: The standard equation of straight line is y = mx + c where m is the slope and c is the y intercept…

Q: What are the ordered pairs of the solutions for this system of equations? f(x) = x² – 2x + 3; f(x) =…

A: Given: f(x) =  x2 -2x+3  f (x) = -6x

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

A: The given graph:

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

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