B.P.S.C. CDPO (Pre) 2022

Given that $$ 2x + 3y = 10 $$ $$ 3x - y = 4 $$ then x and y are respectively

a2 and 2
b2 and –2
c2 and –3
d2 and 2✓ Correct
eNone of the above / More than one of the above

Explanation

$$ 2x + 3y = 10 \quad .........(i) $$ $$ 3x - y = 4 \quad .........(ii) $$ multiply by 3 in equation (ii) $$ 9x - 3y = 12 \quad .......(iii) $$ Adding equation (i) and (iii) $$ 11x = 22 $$ $$ x = 2 $$ from equation (i)- $$ 2 \times 2 + 3y = 10 $$ $$ 3y = 10 - 4 $$ $$ 3y = 6 $$ $$ y = 2 $$ Hence, option (d) is the correct answer.

general-mental-ability