Solve the given set of three equations to get the value of the unknowns:
x + 2z = 3
x + 2y + 3z = 5
3x - 5z = -13
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. x = -1,y = 0,z = 2.
⇒ x + 2z = 3.....(1)
⇒ x + 2y + 3z = 5.....(2)
⇒ 3x - 5z = -13.....(3)
Solving eq 1 and 3
⇒ x + 2z = 3 [multiply eq by 3]
⇒ 3x - 5z = -13
On solving
⇒ 11z = 22
⇒ z = 2
put in eq 1
⇒ x = -1
On putting the value of x and z in eq 2
⇒ -1 + 2y + 6 = 5
⇒ 2y = 0
⇒ y = 0
Thus, the values of x, y, and z are -1, 0, and 2 respectively