SSC CGL 2024 PYQ — Question 60

SSC CGL - 13 Sep 2024 - Shift 1 • Quantitative Aptitude • Q60

The solution of the following equations is:

5x + 4y - 8z = 1

7x - 9y + z = - 1

2x + 3y - 4z = 1

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. x = 1,y = 1,z = 1.

We have given in the question,

5x + 4y - 8z = 1......................(1)

7x - 9y + z = - 1......................(2)

2x + 3y - 4z = 1......................(3)

The best way to solve this question is to substitute the values ​​of x, y, and z from the options.

Let's put the value of x = 1,y = 1,z = 1 from options

equation 1:

5(1) + 4(1) - 8(1) = 1

⇒ 9 - 8 = 1

⇒ 1 = 1 

equation 2:

7(1) - 9(1) + (1) = -1

⇒ 8 - 9 = -1

⇒ -1 = -1 

equation 3:

2(1) + 3(1) - 4(1) = 1

⇒ 5 - 4 = 1

⇒ 1 = 1

So, x = 1,y = 1,z = 1 satisfied the equations