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What is the best method for solving a set of two linear equations?
Wiki User
∙ 14y ago
If this involves two equations both containing the same two unknowns, then multiply (or divide) one of the equations so that the absolute value of one of the unknowns is now the same in both equations. For example, x + 2y = 11 : 3x - 57 = 13 : Multiply the first equation by three, 3x + 6y = 33 so that the 'x' terms in this and the second equations are equal. In this example they both have the same (positive) sign - see below.
If this unknown has identical signs (both are positive or both are negative) then subtract one equation from the other to eliminate that unknown.
If this unknown has different signs (it is positive in one equation and negative in the other equation) then add the equations together to eliminate that unknown.
This will enable the value of the remaining unknown to be determined and by substitution the value of the eliminated unknown can then be found.
Wiki User
∙ 14y ago
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How do you decide whether to use elimination or subsitution to solve a three-variable system?
There is no simple answer. Sometimes, the nature of one of the equations lends itself to the substitution method but at other times, elimination is better. If they are non-linear equations, and there is an easy substitution then that is the best approach. With linear equations, using the inverse matrix is the fastest method.
What situations can best be modeled by literal equations?
literal equations? maybe you mean linear equations? Please edit and resubmit your question if that is what you meant.
What are the best on-line calculators for solving quadratic equations by using the quadratic formula?
Trywww.mathsisfun.com/quadratic-equation-solver.html
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Linear interpolation is used as a method used in mathematics of constructing a curve that has the best fit to a series of points of data using linear polynomials.
How do you study for algebra 1 finals?
Study everything - that's your best bet. Important subjects probably include: Polynomials, Exponents, Radicals, Solving Equations, Solving Inequalities, Absolute Value Equations and Inequalities, Lines, Word Problems, Systems of Equations (2x2's), Factoring, Division of Polynomials, Quadratics, Parabolas, Complex Numbers, Algebraic Fractions, Functions
Why is substitution the best method in solving systems of equations?
It is not always the best method, sometimes elimination is the way you should solve systems. It is best to use substitution when you havea variable isolated on one side
How do you decide whether to use elimination or subsitution to solve a three-variable system?
There is no simple answer. Sometimes, the nature of one of the equations lends itself to the substitution method but at other times, elimination is better. If they are non-linear equations, and there is an easy substitution then that is the best approach. With linear equations, using the inverse matrix is the fastest method.
Which best describes a system of equations that has no solution?
An "inconsistent" set of equations. If they are all linear equations then the matrix of coefficients is singular.
What situations can best be modeled by literal equations?
literal equations? maybe you mean linear equations? Please edit and resubmit your question if that is what you meant.
Is the adversarial system the best method for solving disputes?
yes
What are the best on-line calculators for solving quadratic equations by using the quadratic formula?
Trywww.mathsisfun.com/quadratic-equation-solver.html
What is linear interpolation used for?
Linear interpolation is used as a method used in mathematics of constructing a curve that has the best fit to a series of points of data using linear polynomials.
What is the relationship between linear algebra and economics?
Many problems in economics can be modelled by a system of linear equations: equalities r inequalities. Such systems are best solved using matrix algebra.
How do you study for algebra 1 finals?
Study everything - that's your best bet. Important subjects probably include: Polynomials, Exponents, Radicals, Solving Equations, Solving Inequalities, Absolute Value Equations and Inequalities, Lines, Word Problems, Systems of Equations (2x2's), Factoring, Division of Polynomials, Quadratics, Parabolas, Complex Numbers, Algebraic Fractions, Functions
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If there is a problem with devices connected to the SCSI host adapter then what is the best method for solving the problem?
Set it on fire.
If you are asked to solve a system of equations in which there is no linear equation to start with you can sometimes begin by isolating and substituting a variable that is squared in both equations?
true
