Question

solve the system of linear equations by using the method of elimination : 8x+5y=9; 3x+2y=4. hence find the value of p if y=px-2​

Answer 1

Answer:

8x + 5y = 9 …(i)

And 3x + 2y = 4 …(ii)

On multiplying Eq

. (i)

by 2 and Eq

. (ii) by 5 to make the coefficients of y equal, we get the equation as 16x + 10y = 18 …(iii) 15x + 10y = 20 …(iv) On subtracting Eq. (iii) from Eq. (iv), we get 15x + 10y – 16x – 10y = 20 – 18 ⇒ – x = 2 ⇒ x = –

On putting x = – 2 in Eq. (ii),

we get 3x + 2y = 4 ⇒ 3( – 2) + 2y = 4 ⇒ – 6 + 2y = 4 ⇒ 2y = 4 + 6 ⇒ 2y = 10 y = 10/2 = 5 Hence, x = 2 and y = 5 ,

Answer 2

Answer:

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