Question

How to decide between elimination and substitution?

Answer 1

¤¤ Hey user
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¤¤ here is your answer
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••• Eleminition method :-
•••In this method we simply multiply the coefficients of X and Y .In this method one variable cancels out. Then in order to find the value of other variable simply subsitutue the value of another variable.
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¤¤ For Example :-
x+y=2. .............1st equation
2x+4y=8 ..............2nd equation

Multiply 1st equation with 2

2(x+y=2)
2x+4y=8

2x+2y=4
2x+4y=8

subtract both

2x will be cancelled out then the answer is

-2y=-4
y=4/2=2

Now put value of y in 1st equation
x+y=2
x+(2)=2
x=0

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¤¤ Substitution method :-

In this method we substitute one variable's in other equation
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For Example :-same equation
x+y=2
2x+4y=8

x=2-y

put value of x in other equation
2(2-y) +4y=8
4-2y+4y=8
4-8+2y=0
-4+2y=0
2y=4
y=2
.put value of y in 1st equation

x+y=2
x+2=2
x=0

¤¤ hope it is satisfactory.. !!

Answer 2

Hey dear


In substitution reaction we change one variable in terms of other .


In elimination we eliminate the terms