How do I solve this?

Mathematics

1 answer:

weqwewe [10]3 years ago

7 0

IF:
|1/2.x -2/3.y = 7 and
|a.x - 8.y = -1

have no solution, that means these 2 linear equations ARE PARALLEL (since they can never meet). Reminder: 2 equations are parallel if they have the same coefficient , so let write each of the equation in the normal form:

a)1/2.x -2/3.y = 7→ -2/3.y = -1/2.x + 7 → y = 3/4.x - 21/2

b) a.x - 8.y = -1 → - 8.y = -a.x - 1 → y= a/8.x + 1

a) and b) are // if (3/4) = (a/8), [the 2 coefficient OR the 2 slopes)
a/8 = 3/4 → a = 24/4 and a = 6 (Answer D)

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