Question

# If then (a)          (b)           (c)           (d)

Solution

## The given equations are Substituting in (i) and (ii), the new system becomes Now, multiplying (iii) by 2 and adding it with (iv), we get $6u+9u=4+1⇒u=\frac{5}{15}=\frac{1}{3}$ Again, multiplying (iii) by 3 and subtracting (iv) from it, we get $6v+4v=6-1⇒v=\frac{5}{10}=\frac{1}{2}$  Therefore Adding (v) and (vi), we get $2x=3+2⇒x=\frac{5}{2}$ Substituting $x=\frac{5}{2}$, in (v), we have $\frac{5}{2}+y=3⇒y=3-\frac{5}{2}=\frac{1}{2}$ Thus, . Hence, the correct answer is option (b).MathematicsRS Aggarwal (2018)Standard X

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