Determine whether each equation is an identity, a conditional equ...

Question

Determine whether each equation is an identity, a conditional equation, or a contradic-tion. Give the solution set. 2(x-8) = 3x-16

Accepted Answer

Hey everyone here we are asked to find a solution and choose the type of linear equation for the given equation. Where we have five times the quantity of three X plus 14 is equal to 14 X plus 70. Now, beginning to solve this equation, we first just want to factor in this five on the left hand side. So doing this, we have 15 X plus 70 is equal to 14 X plus 70. And now to actually find a solution to this equation we need to isolate our variable X. So we need to move our 14 X from the right hand side to the left hand side so we can group our X terms together. So to move 14 X, we need to subtract 14 X from both sides. And so our equation becomes 15 X minus 14, X plus 70 is equal to 70. And now we just need to combine our like terms on the left hand side. So 15 x minus 14 X just gives us X plus 70 is equal to 70. And now again we need to get X completely alone. So we need to move this 70 from the left hand side to the right hand side of our equation. So that means We have to subtract 70 from both sides. And so we have X is equal to 70 -70. And simplifying we see that X is just equal to zero. So now we have found our only solution for this given equation which tells us that our solution set just contains this value of zero. And this tells us that we also have a conditional equation. So now with our found information, we are left with our answer choice here of be where our solution set just has zero and we have a conditional equation. Thanks for watching. I hope you found this video helpful, and I'll see you again next time.

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Determine whether each equation is an identity, a conditional equation, or a contradic-tion. Give the solution set. 2(x-8) = 3x-16

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