The answer is: [A]: "No solution" .
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Note: Given:
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y = 4x + 8 ;
y = 4x + 2 ;
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Since: "y = y" ;
4x + 8 = 4x + 2 ; which is not true;
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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:
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" 8 = 2 " ; not true ; since "8 ≠ 2" ;
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Also, suppose:
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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" .
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The correct answer is: [A]: "No solution" .
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