Question

(7) 99x + 101y
3
= 499; 101x + 99y =. 501​

Answer 1

Step-by-step explanation:

(7) 99x + 101y

3

= 499; 101x + 99y =. 501

Answer 2

Answer:

99x + 101y = 499 (eq. 1)

101x + 99y = 501 (eq. 2)

=> eq 1 + eq 2 => 99x + 101y = 499

+ (101x + 99y = 501)

200x + 200y = 1000 => 200( x + y) = 1000

=> x + y = 1000 ÷ 200 = 5

=> eq 1 - eq 2 => 99x + 101y = 499

- (101x + 99y = 501)

- 2x + 2y = 2 => 2(-x + y) = 2

=> -x + y = 2 ÷ 2 = 1

Given, x + y = 5 and, -x + y = 1

x + y = 5

+ -x + y = 1

2y = 6 => y = 6 ÷ 2 = 3

As, x + y = 5 => x + 3 = 5 => x = 5 - 3 = 2

Therefore, [x = 2]

[y = 3]