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Rainbow [258]
3 years ago
5

Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x becaus

e each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:
Mathematics
2 answers:
Iteru [2.4K]3 years ago
8 0
<span>solve the equation ax – c = bx + d for x:

1) Group the x terms together on the left:     ax - bx - c = d

2) Group the constant terms together:          ax - bx = c + d

3) factor out x:                                             x(a - b) = c + d

4) Divide both sides of the equation by (a - b) to obtain a formula for x:
                                                       c+d
</span>           x(a - b) = c + d   =>    x = ---------
                                                       a-b

This shows that the given equation CAN be solved for x, but there is a restriction:  a must NOT equal b, because if a-b = 0, we'd have division by zero (which is not defined).

Where is Victoria's solution?  Please share it if you want to discuss this problem further.  Thank you.

Yuri [45]3 years ago
5 0

Answer:

A , Rewrite the expression on the left using the distributive property.

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