Question

Solve :-

2x - y = 4

y - z = 6

x - z = 10


class 10 [ cbse ]

Answer 1

Hi there!

2x - y = 4

So x = 4 - y / 2. ...... (I)

Now...

x - z = 10

4 - y / 2 - z = 10. from (I)

4 - y - z = 5

4 - y - 5 = z ....... (ii)

Now...

y - z = 6

y - 4 - y - 5 = 6. from ii

y - 4 - y = 11

y = 11 - 4

Ans. y = 7

Answer 2

Hii Everyone

I am Devanshu is here for your help..

We have :- 2x – y = 4..... I

y – z = 6..... II

x – z = 10... III

From equation III. We have.

x – z = 10

x – 10 = z

z = x – 10..

Substituting the value of z in equation II. We obtained

=> y –(x – 10) = 6

=> –x + y = –4...... IV

From equation III. We get z = x – 10

Substituting the value of z in equation II, we get.

=> y – (x – 10) = 6

=> –x + y = –4

Adding equations I & IV. We get

=> 2x – y – x + y = 4 – 4

=> x = 0

Putting x = 0 in equation I and III. We get.

=> 2x – y = 4

=> 2 × 0 – y = 4

=> y = –4

In equation III.

=> x – z = 10

=> 0 – z = 10

=> z = –10

Here x = 0, y = –4 & z = –10 is the solution of the given system of equations..

Hope this will help...

Thank You.

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