Question

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 ?

Answer 1

Answer: x = -1

Work: (in picture)

Answer 2

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

$11x+12(22x+23)=1\\\\\Rightarrow 11x+264x+276=1\\\\\Rightarrow 275x=1-276\\\\\Rightarrow 275x=-275\\\\\Rightarrow x=-\dfrac{275}{275}\\\\\Rightarrow x=-1.$

Thus, the required value of x is -1.