Math, asked by sathwiks015, 8 months ago

Solve the following pair of linear equations :
3x - 5y = 4
2y + 7 = 9x​

Answers

Answered by Anonymous
4

Step-by-step explanation:

hope it helps you see the attachment for further information

Attachments:
Answered by Anonymous
7

Answer:

\large\boxed{\sf{x =\dfrac{9}{13}\:\: ,\:\:y = -\dfrac{5}{13}}}

Step-by-step explanation:

Given pair of linear equations:

3x - 5y = 4 \:  \:  \:  \:  \:  \: ...........(i) \\  \\ 9x - 2y = 7 \:  \:  \:  \:  \:  \: ...........(ii)

Multiplying eqn (i) with 9 and (ii) with 3 and subtracting , we get

 =  > 27x - 45y - 27x + 6y = 36 - 21 \\  \\  =  >  - 39y = 15 \\  \\  =  > y =  -  \frac{15}{39}  \\  \\  = y =  -  \frac{5}{13}

Therefore, we get

 =  > 3x - 5(  - \frac{5}{13} ) = 4 \\  \\  =  > 3x +  \frac{25}{13}  = 4 \\  \\  =  > 3x =  4 -  \frac{25}{13}  \\  \\  =  > 3x =  \frac{52 - 25}{13 }  \\  \\  = >  3x =  \frac{27}{13}  \\  \\  =   > x =  \frac{9}{13}

Hence, x = 9/13 and y = -5/13

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