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Use the substitution method to solve the following system of linear equations -3x-y equals 3 -3x-5y equals -21?
Wiki User
∙ 14y ago
From first equation, -y = 3x + 3.
Substitute in second equation: -3x + 5(3x + 3) = -21
ie 12x = -36 so x = -3 and y = -(-9 + 3) = 6.
Easier method: subtract first equation from second giving -4y = -24 so y = 6, this in first equation gives -6 = 3x + 3, ie 3x = -9 so x = -3
Wiki User
∙ 14y ago
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What is the disadvantage of using the substitution method in solving linear equations rather than the graph method?
There are no disadvantages. There are three main ways to solve linear equations which are: substitution, graphing, and elimination. The method that is most appropriate can be found by looking at the equation.
What methods can be used to solve a system of equations?
The answer depends on the nature of the equations. For a system of linear equations, the [generalised] inverse matrix is probably simplest. For a mix of linear and non-linear equations the options include substitution, graphic methods, iteration and numerical approximations. The latter includes trail and improvement. Then there are multi-dimensional versions of "steepest descent".
What is substitution in algebra?
Substitution is used in Systems of Linear Equations. When you have two equations, such as y=3x+1 and 2y+5=9x+1, then substitution can be used. 2y could be substituted with 2(3x+1). You would have now the equation 6x+2=9x-1, which is more solvable.
Which of the following is a system of linear equations in two variables?
Simultaneous equations have at least two unknown variables.
What is the definition of Simultaneous Linear Equations?
A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.
What is the disadvantage of using the substitution method in solving linear equations rather than the graph method?
There are no disadvantages. There are three main ways to solve linear equations which are: substitution, graphing, and elimination. The method that is most appropriate can be found by looking at the equation.
What are two symbolic techniques used to solve linear equations?
Elimination and substitution are two methods.
What is indicated by the occurrence of a false statement such as 0 equals 1 when you solve a system of two linear equations in two variables using substitution?
In that instance, it means that the lines never touch.
How do you find the solution set of pair linear equations?
By the substitution method By the elimination method By plotting them on a graph
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.
How do you solve linear equations when the given is x equals -3 y equals 5?
If you already know that x = -3 and y = 5 what linear equations are you wanting to solve?
What are two symbolic techniques used to solve linear equations and which do you feel is better?
Elimination and substitution are two methods.
What methods can be used to solve a system of equations?
The answer depends on the nature of the equations. For a system of linear equations, the [generalised] inverse matrix is probably simplest. For a mix of linear and non-linear equations the options include substitution, graphic methods, iteration and numerical approximations. The latter includes trail and improvement. Then there are multi-dimensional versions of "steepest descent".
Solve linear equations with complex coefficients on both sides?
You would solve them in exactly the same way as you would solve linear equations with real coefficients. Whether you use substitution or elimination for pairs of equations, or matrix algebra for systems of equations depends on your requirements. But the methods remain the same.
Is y equals 3x a linear equation?
Yes, because non-linear equations involve x2.
How do i solve yx-1 and x y3 with substitution step by step?
http://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.121634.html visit.
What is substitution in algebra?
Substitution is used in Systems of Linear Equations. When you have two equations, such as y=3x+1 and 2y+5=9x+1, then substitution can be used. 2y could be substituted with 2(3x+1). You would have now the equation 6x+2=9x-1, which is more solvable.
