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With a 1 unit change in b, what is the change in x in the solution of the system of equations x + y = 2, 1.01x + 0.99 y = b?
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- zero
- 2 units
- 50 units
- 100 units
- zero
Correct Option: C
Given x + y = 2 ...(i)
1.01 x + 0.99 y = b... (ii)
Multiply 0.99 with equation (i), and substract from equation (ii); we get
(1.01 – 0.99)x = 1.98
∴ 0.02 ∆b
| ∴ ∆x = | = 50 units | |
| 0.02 |
