jessiegonzales
  • jessiegonzales
MEDAL!!!!!!!!! 4. Is the following always, sometimes, or never true? 14+3x-7=7x+7-4x A. always B. sometimes C. never
Mathematics
katieb
  • katieb
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jessiegonzales
  • jessiegonzales
zepdrix
  • zepdrix
Attempt to solve for x. If you end up with `x=#`, then it is `sometimes true`. This is telling us that the equation is true for ONE SPECIFIC X VALUE. If you end up with `5=6`, or something like that, then we have a false statement, 5 is never equal to 6, `never true`. If you end up with `3=3`, where both sides match, then your equation holds true for every x value, `always true`.
zepdrix
  • zepdrix
Before adding or subtracting from both sides or anything like that, let's try to combine like terms first. \[\Large\rm \color{royalblue}{14}+3x\color{royalblue}{-7}=\color{orangered}{7x}+7\color{orangered}{-4x}\]

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jessiegonzales
  • jessiegonzales
-7=3x=3x+7
zepdrix
  • zepdrix
you meant to write this? -7+3x=3x+7 Hmm no we shouldn't get a -7 on the left side. 14-7 = ?
jessiegonzales
  • jessiegonzales
the result is A always
jessiegonzales
  • jessiegonzales
7
zepdrix
  • zepdrix
You got the same thing on both sides? 7+3x = 3x+7 mmm ok good, that's correct! :)

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