Exams › SSC CGL (Prelims) › General

Solve the system of equations to find x, y, and z: x + 1.5y + 2z = 5.5 ; x + 5y + 7z = 15 ; 3x + 11y + 13z = 25

1. x = 4, y = -3, z = 2
2. x = -3, y = 2, z = 4
3. x = 2, y = -3, z = 4
4. x = 2, y = 4, z = -3

Correct answer: x = 2, y = -3, z = 4

Solution

Substituting x=2, y=-3, z=4: Eq1: 2+1.5(-3)+2(4)=2-4.5+8=5.5 (correct). Eq2: 2+5(-3)+7(4)=2-15+28=15 (correct). Eq3: 3(2)+11(-3)+13(4)=6-33+52=25 (correct). All three equations are satisfied.

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