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NAME DATE 74 PERIOD Elimination Using Multiplication (Pages 387392) An extension of the elimination method is to multiply one or both of the equations in a system by some number so that adding or
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How to fill out elimination using multiplication

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How to fill out elimination using multiplication:

01
Start by writing the system of equations in standard form, with the variables aligned.
02
Choose a variable to eliminate and determine which equation to multiply by a constant to make the coefficient of that variable the same in both equations.
03
Multiply the entire equation by the constant, making sure to distribute the multiplication to all terms.
04
Once the coefficients are the same, subtract one equation from the other to eliminate the chosen variable.
05
Simplify the resulting equation and solve for the remaining variable.
06
Substitute the value of the remaining variable into one of the original equations to find the value of the eliminated variable.
07
The solution will be the values of the variables that make both equations true simultaneously.

Who needs elimination using multiplication:

01
Students studying linear equations in algebra classes may need to use elimination using multiplication as a method to solve systems of equations.
02
Professionals in fields such as engineering, economics, or physics often encounter systems of equations in their work, and elimination using multiplication can be a useful technique to find solutions.
03
Anyone who needs to find the intersection point of two lines or the common solution for a system of equations can benefit from using elimination using multiplication.
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Elimination using multiplication is a method used in solving systems of equations by multiplying one or both equations by a constant to eliminate one of the variables.
Students learning about algebra and solving systems of equations are typically required to use elimination using multiplication.
To fill out elimination using multiplication, you first need to multiply one or both equations by a constant so that when you add or subtract the equations, one of the variables is eliminated.
The purpose of elimination using multiplication is to make solving systems of equations easier by eliminating one of the variables before combining the equations.
The constants used to multiply each equation and the resulting equations after elimination must be reported on elimination using multiplication.
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