explain the substitution method and elemination method
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Elimination MethodThe way to eliminate that variable is to add the 2 equations as so:
4x + y = 13
+ 5x - y = 14
We would get the following general equation:
9x = 27
Substitution Method When you are given a systems of equations where one variable is given an expression, you can use this substitution method.
Substitution Method When you are given a systems of equations where one variable is given an expression, you can use this substitution method.
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if the equations are x+y=9 and 3x+2y=5
by elimination meathod
3x+2y=5
x+y=9 (mulltiply 3 to both sides)
3x+2y=5
3x+3y=27
subtract
-y= -22
y=22
x+22=9
x=9-22
x= -13
by substitution method
x+y=9
x=9-y
put value in second equation
3(9-y)+2y=5
27-3y+2y=5
27-y=5
-y=-27+5
-y= -22
y=22
x=9-y
x=9-22
x= -13
by elimination meathod
3x+2y=5
x+y=9 (mulltiply 3 to both sides)
3x+2y=5
3x+3y=27
subtract
-y= -22
y=22
x+22=9
x=9-22
x= -13
by substitution method
x+y=9
x=9-y
put value in second equation
3(9-y)+2y=5
27-3y+2y=5
27-y=5
-y=-27+5
-y= -22
y=22
x=9-y
x=9-22
x= -13
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