Question

Solve the given pair of linear equations by using elimination method 3y-5z=4 and 9y-2z=7.

Answer 1

EXPLANATION.

• GIVEN

3y - 5z = 4 ......(1)

9y - 2z = 7 .......(2)

To find value of y and z

From equation (1) and (2) we get,

1. multiply equation (1) by 2
2. multiply equation (2) by 5

We get,

=> 6y - 10z = 8

=> 45y - 10z = 35

we get,

=> -39y = -27

=> y = 9/13

put the value of y = 9/13 in equation (1)

we get,

=> 3 X 9/13 - 5z = 4

=> 27/13 - 5z = 4

=> -5z = 4 - 27/13

=> -5z = 25/13

=> z = -5/13

Therefore,

Value of y = 9/13 and z = -5/13

Answer 2

Given :-

• 3y - 5z = 4 --------- (i)
• 9y - 2z = 7 --------- (ii)

To Find :-

• Value of y and z

Solution :-

From equation (i) and (ii)

• Multiply equation (i) by 2
• Multiply equation (ii) by 5

We get,

• 6y - 10z = 8 ---------- (iii)
• 45y - 10z = 35 --------(iv)

Therefore we will get,

-39y = -27

=> y = 9/13

Put the value of y in equation (i)

3 × 9/13 - 5z = 4

=> 27/13 - 5z = 4

=> -5z = 4 - 27/13

=> -5z = 25/13

=> z = -5/13

Answer :-

1) Value of y = 9/13.

2) Value of z = -5/13$.$