Question

Observe the following flow chart and solve it:

Answer 1

3x − y = 7    ...(1) Here, a₁ = 3, b₁ = −1, c₁ = 7.

x + 4y = 11    ...(2) Here, a₂ = 1, b₂ = 4, c₂ = 11.

D = `|(a_1, b_1), (a_2, b_2)|`

= `|(3, -1), (1, 4)|`

= 3 × 4 − (−1) × 1

= 12 + 1 

= 13

`D_x = |(c_1, b_1), (c_2, b_2)|`

= `|(7, -1), (11, 4)|`

= 7 × 4 − (−1) × 11

= 28 + 11

= 39

`D_y = |(a_1, c_1), (a_2, c_2)|`

= `|(3, 7), (1, 11)|`

= 3 × 11 − 7 × 1

= 33 − 7

= 26

`x = D_x/D`

= `39/13`

x = 3

`y = D_y/D`

= `26/13`

y = 2