Question

Without actually solving for x and y. Find the value of x + y and x – y
(Linear Equations, Class 10th CBSE)

• 37x + 43y = 123

• 43x + 37y = 117

WRONG ANSWERS WILL BE REPORTED..!!​

Answer 1

Answer:

Hope it helps you.......

Answer 2

Answer:

37x + 43y = 123 ……..(1)

43x + 37y = 117 ……..(2)

Adding (1) and (2)

80x + 80y = 240

80(x + y) = 240

x + y = <nobr>240/80</nobr><amp-mathml data-formula="

24080

" inline="" layout="container"></amp-mathml> = 3 ……..(3)

Subtracting (1) from (2),

6x – 6y = -6

6(x – y) = -6

x – y = <nobr>−6/6</nobr><amp-mathml data-formula="

−66

" inline="" layout="container"></amp-mathml> = -1 ……..(4)

Adding (3) and (4)

2x = 3 – 1 = 2

<nobr>⇒</nobr><amp-mathml data-formula="

⇒

" inline="" layout="container"></amp-mathml> x = 1

Subtracting (4) from (3)

2y = 3 + 1 = 4

<nobr>⇒</nobr><amp-mathml data-formula="

⇒

" inline="" layout="container"></amp-mathml> y = 2

Hence, solution is x = 1, y = 2