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How do you use the substitution method to solve a system of linear equations?
Wiki User
∙ 11y ago
You first need to isolate one variable in one of the equations and then substitute that value into the other equation and solve for the remaining variable. Take the value you just got and plug it in to the other equation for the appropriate variable. Solve for the first variable that you isolated.
Example: 2x-y=3, 4x+2y=6
2x-y=3 Isolate y.
+y +y
2x=y+3
-3 -3
y=2x-3 If y=2x-3 then substitute 2x-3 in for y in the other equation.
4x+2y=6
4x+2(2x-3)=6 Distribute
4x+4x-6=6 Simplify
8x-6=6
+6 +6
8x=12 Divide both sides by 8 to isolate x.
x=12/8 Simplify
x=3/2 Now substitute 3/2 in for x in the first equation.
2x-y=3
2(3/2)-y=3 Again, distribute.
6/2-y=3 Simplify
3-y=3 Isolate y.
-3 -3
y=0 (It can't be -y=0, because you can't have -0)
So, x=3/2 and y=0!
Wiki User
∙ 11y ago
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Use the substitution method to solve the system of equations Enter your answer as an ordered pair?
Use the substitution method to solve the system of equations. Enter your answer as an ordered pair.y = 2x + 5 x = 1
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 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 a method for solving a system of linear equations in which you multiply one or both equations by a number to get rid of a variable term?
It is called solving by elimination.
When using the addition or substitution method how can you tell whether a system of linear equations has infinitely many solutions and what is the relationship between the graphs of the two equation?
If it has infinite number of solutions that means that any ordered pair put into the system will make it true. I believe the relationship of the graphs question your asking is that tooth equations will probably be the same line
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.
Use the substitution method to solve the system of equations Enter your answer as an ordered pair?
Use the substitution method to solve the system of equations. Enter your answer as an ordered pair.y = 2x + 5 x = 1
When using the substitution method to solve a nonlinear system of equations you should first see if you can one variable in one of the equations in the system?
isolate
What are the ways to solve a system of linear equations in two variables?
the substitution method in which you take each variable and you find out the value and then plug it into the original equation.the adding and subtracting method in which you subtract\add equations to take out a variable and you can figure out what the other variable is. then you also substitute that into that into the original variable
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 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".
Why is it the graphing method is the least reliable method in solving system of linear equations?
putang ina nyu
What are two symbolic techniques used to solve a system of linear equations in two variables?
I have never seen the term 'symbolic' used in this way. There are 4 methods used to solve a system of linear equations in two variables. Graphing, Substitution, Elimination, and Cramer's Rule.
What is a method for solving a system of linear equations in which you multiply one or both equations by a number to get rid of a variable term?
It is called solving by elimination.
A system of linear equations that has soluton is?
A system of linear equations that has at least one solution is called consistent.
What is the solution of a system of linear equations in two variables?
The solution of a system of linear equations is a pair of values that make both of the equations true.
When using the addition or substitution method how can you tell whether a system of linear equations has infinitely many solutions and what is the relationship between the graphs of the two equation?
If it has infinite number of solutions that means that any ordered pair put into the system will make it true. I believe the relationship of the graphs question your asking is that tooth equations will probably be the same line
