Find the real solution set of the system of equations, please { <mtable columnal

Pattab

Pattab

Answered question

2022-07-14

Find the real solution set of the system of equations, please

{ 1 z 2 x = 5 3 x 2 y = 1 1 z 1 y = 5

Answer & Explanation

Kayley Jackson

Kayley Jackson

Beginner2022-07-15Added 16 answers

We have the equations:
1 z 2 x = 5 (1)
3 x 2 y = 1 (2)
1 z 1 y = 5 (3)

Subtract equation (3) from equation (1)
1 z 2 x 1 z + 1 y = 5 5
2 x + 1 y = 0
1 y = 2 x (4)

Now, put this value in equation (2)
3 x 4 x = 1
1 x = 1
x = 1

Put x = 1 in equation (4)
1 y = 2 1
y = 1 2

Now, put x = 1 in equation (1)
1 z + 2 = 5
1 z = 3
z = 1 3
{ x = 1 y = 1 2 z = 1 3
ban1ka1u

ban1ka1u

Beginner2022-07-16Added 5 answers

Thank u so much for fast answer

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