All the options given for the equation have no solution.
Explain the condition of no solution of the equation?
- If two lines remain parallel to one another, there is no solution for those two lines.
- Because the lines remain parallel to one another, their slopes are also equal.
- Assume that the pair of linear simultaneous equations variables, x and y, are represented by the equations a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0.
- There won't be a solution if (a1/a2) = (b1/b2) (c1/c2).
The given equation are-
Option a: 29x + 11 = 29x - 11
Cancel 29x from both sides as equal.
Thus,
11 = -11
But, 11 ≠ -11 . So, no solution.
Option b: 29x + 29 = 29x - 11
Cancel 29x from both sides as equal.
Thus,
29 = -11
But, 29 ≠ -11 . So, no solution.
Option c: 29x - 29 = 29x - 11
Cancel 29x from both sides as equal.
Thus,
-29 = -11
But, -29 ≠ -11 . So, no solution.
Option d: 29x + 92 = 29x - 11
Cancel 29x from both sides as equal.
Thus,
92 = -11
But, 92 ≠ -11 . So, no solution.
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