Question: If 4x + 7y = - 3 and x + ey = 9 are parallel, then find the value of e.

A ) 7 / 4
B ) - 74
C ) 4 / 7
D ) - 47

Steps to derive

1 4x + 7y = - 3
 [First equation.]

2 y = - 4x7 - 3 / 7
 [Write it in slope-intercept form.]

3 Hence, the slope is - 4 / 7.

4 x + ey = 9
 [Second equation.]

5 y = - xe + 9e
 [Write it in slope-intercept form.]

6 Hence, the slope is - 1e.

7 Since the lines are parallel, - 1e = - 47

8 So, e = 7 / 4.



Hence the right answer is Option A

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