Why do systems of equations sometimes have no solutions?

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

A:

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: system of linear equations reduces to "0=0"  how many solutions does the possess?

A: Answer

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: 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: 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: 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: ) Describe the three possible solutions to a system of equations.

A: Solution of system of equations

Q: The number of degenerate basic solutions of the system, x₂ + 2x₂ + x3 = 4, 2x₁ +x₂ +5x₂ =5 is ?.

A: Given system of linear equations are   x1+2x2+x3=42x1+x2+5x3=5 Degenerate basic feasible solution,…

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: 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: Find the General Solution of the System of Equations. 2 -1 X X' 1

A:

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

A: Here the graph of two straight lines is given

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: 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: 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: 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: 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: Why is it often better to use algebra methods (substitution and elimination) than graphing to find…

A: We have to explain why is it often better to use algebra methods (substitution and elimination) than…

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: Explain why the linear system has no solution: 3 0 1 2 1 0 3 1 4 0 0 0 6

A: Row Echolen form:  A matrix A is said to be in row echelon form if it the following conditions meet:…

Q: Is (1, 10) a solution to this system of equations? y = x + 9 X = 1 yes no

A: Given system of equations is   y=X+9......(1) X=1.........(2)

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

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

Q: If a system of equations has infinitely - many solution, what does the graph look like?

A: A system of equations has infinite solutions , when all the equations have exactly the same graph…

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

A:

Q: What is a system of equations?

A: The system of equations is a set of equations.

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

A:

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

A:

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

A: Topic :- Algebra

Q: Solve the system of linear equations. 6х+ 7у — —12 5х — 8у 3 — 10 - -

A: The substitution method is the algebraic method to solve simultaneous linear equations. As the word…

Q: how

A:

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

A:

Q: What is most likely the number of solutions for this system of equations? 4 3 O O O O

A: The objective is to find the number of solutions for the given system of equations.

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 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: What happens in a system of equations when the number of equations ≠ number of unknowns?

A: A system of equations is a set or collection of equations that you deal with all together at once. A…

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: 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: 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: 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 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…

A:

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: Is it possible for a system of linear equations with fewer equations than variables to have no…

A: A system of linear equations is a collection of one or more linear equations involving the same set…