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