A) Consistent
B) \[x=2,y=3\]
C) No solution
D) All real values
Correct Answer: C
Solution :
Given, pair of linear equations is |
\[2x+3y=8\] ... (i) |
and \[4x+6y=7\] (ii) |
On multiplying Eq. (i) by 2, to make the coefficients of x equal, we get the equation as |
\[4x+6y=16\] ... (iii) |
On subtracting Eq. (ii) from Eq. (iii), we get |
\[\left( 4x-4x \right)+(6y-6y)=16-7\] |
\[\Rightarrow \,\,\,0=9\] |
which is a false equation involving no variable. |
So, the given pair of linear equations has no solution, i.e. this pair of linear equations is inconsistent |
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