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2: The process of adding or subtracting to remove a variable and simplify solving the system of equations is called (substitution, elimination).

Short Answer

Expert verified

The purpose of adding or subtracting to remove a variable and simplify solving the system of equations is called elimination.

Step by step solution

01

Step-1 – Taking an example to justify the statement

Let us consider the equations,

2x+3y=53x+2y=5

02

Step-2 –Multiplying the first equation by2 and second by 3

By doing the above operation, we have

4x+6y=109x+6y=15

03

Step-3 –Subtracting the two equations

4x-9y=10-15-5x=-5x=1

Substituting the value of x, we get

2x+3y=521+3y=52+3y=52+3y=53y=5-23y=3y=3

Therefore, we see that by using elimination we simplify the system of equation.

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