mataiqbal2007 mataiqbal2007
  • 18-08-2020
  • Mathematics
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How many solutions does the following equation have? -14(z-5)=-14x+70

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Space
Space Space
  • 18-08-2020

Answer:

Infinite amount of solutions

Step-by-step explanation:

Parallel lines have no solution

Same lines have infinite solutions

Intersecting lines have 1 solution

Step 1: Write out equation

-14(x - 5) = -14x + 70

Step 2: Distribute -14

-14x + 70 = -14x + 70

Here we see that we have 2 exact same lines. Therefore, we have infinite amount of solutions.

Alternatively, we can plug in any number x and it would work. So then we would have infinite amount of solutions as well.

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