A set of equations is given below:

1 answer:

4 0

The answer is: [A]: "No solution" .
_______________________________________________
Note: Given:
_______________________________________________
y = 4x + 8 ;
y = 4x + 2 ;
_______________________________________________

Since: "y = y" ;

4x + 8 = 4x + 2 ; which is not true;
______________________________
4x + 8 ≠ 4x + 2 ; since, "8 ≠ 2" ;

Note: Suppose: "4x + 8 = 4x + 2" ;

→ Subtract "4x" from each side of the equation:

4x + 8 − 4x = 4x + 2 − 4x ;

to get:
_________________
" 8 = 2 " ; not true ; since "8 ≠ 2" ;
______________________________
Also, suppose:
_______________________________
4x + 8 = 4x + 2 ;

→ Subtract "2" from BOTH SIDES of the equation;

4x + 8 − 2 = 4x + 2 − 2 ;

to get:

4x + 6 = 4x

(Note: "4x + 0 = 4x" ; but "4x + 6 ≠ 4x") l

But even if we have:

4x + 6 = 4x ;

→ Subtract "4x" from EACH side of the equation:

4x + 6 − 4x = 4x − 4x ;

to get:

6 = 0 ; which is not true; "6 ≠ 0" .
____________________________________
The correct answer is: [A]: "No solution" .
______________________________________

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