Question

SIMULTANEOUS EQUATIONS
1) 4/x+5/y=7 ; 3/x-4/y=13

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Answer 1

Answer:

Taking 1/x = u, the given equation becomes  4u + 5y = 7………

(i) 3u + 4y = 5………(ii) Subtracting (ii) from (i),

we get  4u + 5y – (3u + 4y) = 7 – 5  ⇒ u + y = 2  ⇒ u = 2 – y………

(iii)  Using (iii) in (i),  4(2 – y) + 5y = 7  ⇒ 8 – 4y + 5y = 7  ⇒ y = -1

Putting y = -1 in (iii), we find u  u = 2 – (-1)  ⇒ u = 3 ⇒ x = 1/u = 1 3 13

Hence, the solution for the given system of equations is x = 1 3 13 and y= -1

x = 1 3 13

y= -1

Step-by-step explanation:

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