samanthagreer
  • samanthagreer
1. Which of the following equations has exactly one real solution? A. 5(x + 10) = 5x + 50 B. 7x + 10 = -5x - 18 C. 7x + 10 = 7x - 18 D. 5x + 10 = 5x + 10
Mathematics
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
What do you think it is? @samanthagreer
anonymous
  • anonymous
Give me your best guess.
samanthagreer
  • samanthagreer
d

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More answers

DanJS
  • DanJS
the one that you can solve for 1 sol
DanJS
  • DanJS
x=number
anonymous
  • anonymous
Okay well lets work on this @samanthagreer
anonymous
  • anonymous
Lets first start with A.
anonymous
  • anonymous
Lets try and solve it by distributing 5(x+10)
anonymous
  • anonymous
Do you know how to distribute @samanthagreer
DanJS
  • DanJS
A is the same thing on both sides, you get a true statement, x can be anything, infinite solutions
samanthagreer
  • samanthagreer
multiply 5 times what is in the perentaces
anonymous
  • anonymous
Okay yes so when you do that 5(x+10) would become 5x+50! So now what is the answer?
samanthagreer
  • samanthagreer
55x
DanJS
  • DanJS
B looks like you can solve for x= C turns into a False statement, or No solutions
anonymous
  • anonymous
@samanthagreer so using the info I just gave you what is the answeR?
anonymous
  • anonymous
@DanJS you got this lol
samanthagreer
  • samanthagreer
A
DanJS
  • DanJS
each of these is sort of like solving a system of two linear equations y = mx+b, setting them equal will tell you what x values may have a point where the two lines cross and a solution`
DanJS
  • DanJS
like A) is a line y = 5(x+10) and another y = 5x+50 they are the same line, think of them as overlapping each other at an infinite number of points, solutions
samanthagreer
  • samanthagreer
wait its b
samanthagreer
  • samanthagreer
right
DanJS
  • DanJS
those two intersect , the solution is a value for x for that intersection point
DanJS
  • DanJS
yes, you can solve b) for a value of x
samanthagreer
  • samanthagreer
ok thanks for the hel pi will give you a medal if you give tom one
DanJS
  • DanJS
C) gives you 10=-18, false, the two lines are parallel, never intersecting,
DanJS
  • DanJS
no solutions in that case
DanJS
  • DanJS
welcome

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