First slide

System of linear equations

Question

The system of equations $x + y = 2$ and $2 x + 2 y = 3$ has

Easy

A

No solution
B

A unique solution
C

Finitely many solutions
D

Infinitely many solutions

Solution

$x + y = 2$ $\Rightarrow 2 x + 2 y = 4$ which does not agree with the second equation.
So, given system is inconsistene. i.e., it has no solution.

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