solve problems by elimination method
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Answer:
where is the question..
Answer:
Another way of solving a linear system is to use the elimination method. In the elimination method you either add or subtract the equations to get an equation in one variable.
When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.
Example
3y+2x=65y−2x=103y+2x=65y−2x=10
We can eliminate the x-variable by addition of the two equations.
3y+2x=63y+2x=6
+5y−2x=10−−−−−−−−−−−−+5y−2x=10_
=8y=16=8y=16
y=2y=2
The value of y can now be substituted into either of the original equations to find the value of x
3y+2x=63y+2x=6
3⋅2+2x=63⋅2+2x=6
6+2x=66+2x=6
x=0x=0
The solution of the linear system is (0, 2).