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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 <img alt="\mathrm{x+y=2,1.01 x+0.99 \, \, y=b ?}" src="https://entrancecorner.oncodecogs.com/

With a 1 unit change in b, what is the change in x in the solution of the system of equations

\mathrm{x+y=2,1.01 x+0.99 \, \, y=b ?}

Option: 1

zero
 


Option: 2

2 units
 


Option: 3

50 units
 


Option: 4

100 units


Answers (1)

best_answer

Solving the given system of equation for x we get
                       \mathrm{ 0.02 x=b-1.98 }

Differentiating both sides

                       \mathrm{0.02 d x=d b}

\Rightarrow                       \mathrm{\mathrm{dx}=50 \mathrm{db}}

\because                        \mathrm{\mathrm{db}=1 \text { (given) }}

\Rightarrow              \mathrm{\mathrm{dx}=50 \text { units. }}

Posted by

Ritika Kankaria

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