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Among the following equations, which are linear?
1.$\quad 2 x+y-z=5$
2.$\pi x+y-e z=\log 3$
3.$\quad 3^{x}+2 y=7$
4.$\quad \sin x-y-5 z=4$
Select the correct answer using the code given below
Options:
1.$\quad 2 x+y-z=5$
2.$\pi x+y-e z=\log 3$
3.$\quad 3^{x}+2 y=7$
4.$\quad \sin x-y-5 z=4$
Select the correct answer using the code given below
Solution:
2268 Upvotes
Verified Answer
The correct answer is:
1 and 2 only
An equation of the form $a x+b y+c z=d$, where $a, b, c$, d are real number, not all zero, is linear.
$\Rightarrow 2 x+y-z=5$
and $\pi x+y-e z=\log 3$ are linear.
$\Rightarrow 2 x+y-z=5$
and $\pi x+y-e z=\log 3$ are linear.
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