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What else can I help you with?
How does writing equivalent equations help you solve a system of equations?
You can write an equivalent equation from a selected equation in the system of equations to isolate a variable. You can then take that variable and substitute it into the other equations. Then you will have a system of equations with one less equation and one less variable and it will be simpler to solve.
What is the value of the y variable in the solution to the following system of equations- 3x - 6y equals 3 7x - 5y equals -11?
If "equations-" is intended to be "equations", the answer is y = -2. If the first equation is meant to start with -3x, the answer is y = 0.2
What do you use to solve for the unknown variable?
Equations are used to find the solution to the unknown variable.
How doI solve system of equations by substitution?
Assuming the simplest case of two equations in two variable: solve one of the equations for one of the variables. Substitute the value found for the variable in all places in which the variable appears in the second equation. Solve the resulting equation. This will give you the value of one of the variables. Finally, replace this value in one of the original equations, and solve, to find the other variable.
When you solve a system of linear equations by adding or subtracting what needs to be true about the variable terms in the equations?
I guess you mean, you want to add two equations together. The idea is to do it in such a way that one of the variables disappears from the combined equation. Here is an example:5x - y = 15 2x + 2y = 11 If you add the equations together, no variable will disappear. But if you first multiply the first equation by 2, and then add the resulting equations together, the variable "y" will disappear; this lets you advance with the solution.
In order to solve the following system of equations by addition could you do before adding the equations so that one variable will be eliminated when you add them?
Yes, you can manipulate the equations before adding them to eliminate one variable. This can be done by multiplying one or both equations by a suitable coefficient so that the coefficients of one variable become opposites. Once the coefficients are aligned, you can add the equations together, resulting in the elimination of that variable, making it easier to solve for the remaining variable.
What is the addition method called sometimes?
The addition method is sometimes referred to as the "elimination method." This technique is used in solving systems of linear equations by adding or subtracting the equations to eliminate one variable, making it easier to solve for the other variable.
What are the steps to the elimination method?
The elimination method involves three main steps to solve a system of linear equations. First, manipulate the equations to align the coefficients of one variable, either by multiplying one or both equations by suitable constants. Next, add or subtract the equations to eliminate that variable, simplifying the system to a single equation. Finally, solve for the remaining variable, and substitute back to find the value of the eliminated variable.
What is the value of the x variable in the solution to the following system of equations?
x isn't a value, just a variable standing for a number
How can i identify an equation with elimination?
To identify an equation for elimination, start with a system of linear equations, typically in the form ( Ax + By = C ). Elimination involves manipulating these equations to eliminate one variable, allowing you to solve for the other. You can do this by multiplying one or both equations by suitable coefficients so that when they are added or subtracted, one variable cancels out. Once one variable is eliminated, you can solve for the remaining variable and then substitute back to find the other.
How do you solve systems by elimination?
Select one equation from a system of linear equations. Select a second equation. Cross-multiply the equations by the coefficient of one of the variables and subtract one equation from the other. The resulting equation will have one fewer variable. Select another "second" equation and repeat the process for the same variable until you have gone through all the remaining equations. At the end of the process you will have one fewer equation in one fewer variable. That variable will have been eliminated from the system of equations. Repeat the whole process again with another variable, and then another until you are left with one equation in one variable. That, then, is the value of that variable. Substitute this value in one of the equations from the previous stage to find the value of a last variable to be eliminated. Work backwards to the first variable. Done! Unless: when you are down to one equation it is in more than one variable. In this case your system of equations does not have a unique solution. If there are n variables in your last equation then n-1 are free to take any value. These do not have to be from those in the last equation. or when you are down to one variable you have more than one equation. If the equations are equivalent (eg 2x = 5 and -4x = -10), you are OK. Otherwise your system of equations has no solution.
How does writing equivalent equations help you solve a system of equations?
You can write an equivalent equation from a selected equation in the system of equations to isolate a variable. You can then take that variable and substitute it into the other equations. Then you will have a system of equations with one less equation and one less variable and it will be simpler to solve.
What is the difference between a linear quadratic and a quadratic quadratic?
There is no quadratic equation that is 'linear'. There are linear equations and quadratic equations. Linear equations are equations in which the degree of the variable is 1, and quadratic equations are those equations in which the degree of the variable is 2.
What are linear equtions and simultanions equations?
Linear Equations are equations with variable with power 1 for eg: 5x + 7 = 0 Simultaneous Equations are two equations with more than one variable so that solving them simultaneously
What is the value of the y variable in the solution to the following system of equations- 3x - 6y equals 3 7x - 5y equals -11?
If "equations-" is intended to be "equations", the answer is y = -2. If the first equation is meant to start with -3x, the answer is y = 0.2
How do you solve simultanious equations?
By eliminating or substituting one of the variables in the two equations in order to find the value of the other variable. When this variable is found then substitute its value into the original equations in order to find the value of the other variable.
Can you use addition or subtraction to solve any system?
Yes, addition or subtraction can be used to solve a system of equations, particularly in the method known as elimination. By adding or subtracting equations, you can eliminate one of the variables, making it easier to solve for the other variable. This method is effective when the coefficients of one variable are opposites or can be made to be opposites through multiplication. However, it is not the only method; substitution and graphing are also common approaches.
