Write whether the following pair of linear equation is consistent or not x + y = 14, x – y = 4
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Step-by-step explanation:
The pair of linear equations in two variables:
x+y=14
x-y=4.
are consistent.
By substitution method:
x-y=4
x=4+y
Substituting x in another equation, we get:
4+y+y=14
2y=14-4=10
y=10/2=5.
now by substituting y in x=4+y:
x=4+5=9.
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