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Consider this system of linear equations:

22x − y = -23 (equation 1)

11x + 12y = 1 (equation 2)

To find the value of x, you need to substitute in equation 2.
The value of x is ?

User Kate Zz
by
7.5k points

2 Answers

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Answer: x = -1

Work: (in picture)
Consider this system of linear equations: 22x − y = -23 (equation 1) 11x + 12y = 1 (equation-example-1
User Dhk
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Answer: The required value of x is -1.

Step-by-step explanation: We are given the following system of linear equations :


22x-y=-23~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\11x+12y=1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

We are to find the value of x.

To find the value of x, we need to substitute the value of y from equation (i) in equation (ii).

From equation (i), we have


22x-y=-23\\\\\Rightarrow y=22x+23~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

Substituting the value of y from equation (iii) in equation (ii), we get


11x+12(22x+23)=1\\\\\Rightarrow 11x+264x+276=1\\\\\Rightarrow 275x=1-276\\\\\Rightarrow 275x=-275\\\\\Rightarrow x=-(275)/(275)\\\\\Rightarrow x=-1.

Thus, the required value of x is -1.

User Alexej Magura
by
8.1k points
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