Diketahui : x + y - z = 1 2x - y + z = -1 x + 2y - z = 3 Berapa nilai z - x ?

Diketahui :
x + y – z = 1
2x – y + z = -1
x + 2y – z = 3
Berapa nilai z – x ?

Jawaban:

z -x= 1

Penjelasan dengan langkah-langkah:

$x + y - z = 1 \ 2x - y + z = - 1 \ - - - - - - - - - + \ 3x = 0 \ x = 0$

$x + y - z = 1 \ y - z = 1 \ y = z + 1$

$x + 2y - z = 3 \ 0+ 2(z + 1) - z = 3 \ 2z + 2 - z = 3 \ z = 1$

$z - x = 1 - 0 = 1$

x + 2y – z = 3 (× 1)

2x – y + z = -1 (× 2)

..x + 2y -.. z =. 3

4x – 2y + 2z = -2

————————– +

5x + z = 1

x + 2y – z = 3 (× 1)

x + y – z = 1 (× 2)

..x + 2y – ..z = 3

2x + 2y – 2z = 2

————————- –

-x + z = 1

5x + z = 1

z = 1 – 5x

-x + z = 1

-x + 1 – 5x = 1

-6x = 1 – 1

-6x = 0

x = 0

-x + z = 1

0 + z = 1

z = 1

z – x

= 1 – 0

= 1