Question

if x+y=5 and x-y=4 then find the value of x and y​

Answer 1

Answer:

.

Step-by-step explanation:

(x+y)2 = x2 - 2xy + y2

= x2 + 2xy + y2 - 4xy

= (x+y)2 - 4xy

= 52 - 4 × 4

= 25 - 16 = 9

∴ x - y = √9

= 3

Answer 2

$x + y = 5 \: \: \: - - eq(1) \\ x - y = 4 - - eq(2) \\ add \: eq(1 ) + (2) \\ \: \: \: x+y=5 \\ + x - y = 4 \\ 2x = 9 \\ x = \frac{9}{2} \\ sub \: in \: eq(1) \\ </p><p>x+y=5 \\ \frac{9}{2} + y = 5 \\ y = 5 - \frac{9}{2} \\ y = \frac{5 \times 2}{2} - \frac{9}{2} \\ y = \frac{10 - 9}{2} \\ y = \frac{1}{2}$

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