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CBSE Class 10 Answered

Solve the sum 4 x minus 3 Y is equal to 8 and 6 x minus Y is equal to 29 upon 3 by elimination of y only
Asked by nashatersingh9 | 08 Apr, 2020, 13:07: PM
answered-by-expert Expert Answer

 

4x – 3y = 8 ------------ (i)

6x – y = 29/3 ----------- (ii)

 

TO eliminate ‘y’ we have to make the coefficient of ‘y’ equal in both the equations.

Any guesses?

Let us multiply the eqn (ii) by 3, we get

18x – 3y = 29 ---------- (iii)

 

Now, ‘y’ term in both the eqn (i) and (iii) is equal.

Subtract these eqns to eliminate the ‘y’ term

 

We do (iii) – (i), here and get

14x = 21

Now simplify further.

Divide both sides by 14, we get

 x = 21/14 = 3/2

 

Now find the value of ‘y’ from any of the equations.



 

 

 

 

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