anonymous
  • anonymous
How many solutions does the equation have? 4(2x+3)=2(3x-4)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Vocaloid
  • Vocaloid
start by dividing both sides by 2
anonymous
  • anonymous
A. one solution B. infinite solutions C. no solution
anonymous
  • anonymous
is it B

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More answers

anonymous
  • anonymous
i will metal and fan
Vocaloid
  • Vocaloid
again, start by dividing both sides by 2
Vocaloid
  • Vocaloid
4(2x+3)/2 = ?
anonymous
  • anonymous
4.5x
Vocaloid
  • Vocaloid
nope, not quite hint: 4(A)/2 = 2(A) 4(2x+3)/2 = ?
anonymous
  • anonymous
2x+3= 5 4*5=20 20/2=10
Vocaloid
  • Vocaloid
nope, not quite 2x + 3 is not 5. x is attached to the 2, so you can't put them together
Vocaloid
  • Vocaloid
|dw:1443751103915:dw|
anonymous
  • anonymous
okay so how do i do it
Vocaloid
  • Vocaloid
|dw:1443751149996:dw|
anonymous
  • anonymous
ya
Vocaloid
  • Vocaloid
good, now we have 2(2x + 3) = (3x-4)
Vocaloid
  • Vocaloid
now let's focus on the left side 2(2x+3) = ?
anonymous
  • anonymous
so it would be 5(2x)
Vocaloid
  • Vocaloid
nope, remember what I said before. 2x + 3 is not 5, you can't put them together since x is attached to 2
anonymous
  • anonymous
no the 2 on the other side how do i do it then
Vocaloid
  • Vocaloid
hint: we'll be using the distributive property A(B+C) = A*B + A*C 2(2x + 3) = _________ follow the pattern
anonymous
  • anonymous
4x+5=20x
Vocaloid
  • Vocaloid
nope, not quite...
Vocaloid
  • Vocaloid
|dw:1443751394748:dw|
Vocaloid
  • Vocaloid
A = 2 B = 2x C = 3 A*B + A*C = ?
anonymous
  • anonymous
ya so 2*2x=4x right
Vocaloid
  • Vocaloid
right, that's part of it, keep going A*C = ?
anonymous
  • anonymous
2*3=6 right
Vocaloid
  • Vocaloid
good, that gives us 2x + 6 = 3x - 4 now subtract 2x from each side
anonymous
  • anonymous
6x=-3x
Vocaloid
  • Vocaloid
nope, not quite... 2x + 6 - 2x = ?
anonymous
  • anonymous
2x+6=8x
anonymous
  • anonymous
8x-2x=6x
Vocaloid
  • Vocaloid
remember what I said earlier
anonymous
  • anonymous
oh okay
Vocaloid
  • Vocaloid
hint: 2x - 2x = ?
anonymous
  • anonymous
0
Vocaloid
  • Vocaloid
good, so 2x + 6 - 2x = ?
anonymous
  • anonymous
so it would be 6x
Vocaloid
  • Vocaloid
nope, not quite
Vocaloid
  • Vocaloid
2x + 6 - 2x = ?
anonymous
  • anonymous
2x +6 = 8x 2x-2x=0 8x+0=8x right
Vocaloid
  • Vocaloid
not quite... we said that 2x - 2x = 0 so 2x + 6 - 2x = ?
Vocaloid
  • Vocaloid
hint: what's the difference between 2x - 2x and 2x + 6 - 2x ?
anonymous
  • anonymous
there is a 6
Vocaloid
  • Vocaloid
good, so 2x + 6 - 2x = ?
anonymous
  • anonymous
would it be just 6
Vocaloid
  • Vocaloid
yes! 2x - 2x = 0 2x + 6 - 2x = 6 now let's move to the right side 3x - 2x - 4 = ?
anonymous
  • anonymous
i know you probaly dont want to help me because i am dum
Vocaloid
  • Vocaloid
don't say that, I'm happy to help anyone in need
Vocaloid
  • Vocaloid
3x - 2x = ?
anonymous
  • anonymous
5x
Vocaloid
  • Vocaloid
hint: 3 - 2 = 1 3x - 2x = ?
anonymous
  • anonymous
1 imean
anonymous
  • anonymous
1x
Vocaloid
  • Vocaloid
good, 3x - 2x = 1x = x that gives us: 6 = x - 4 now add 4 to each side
anonymous
  • anonymous
6+4=10 -4+4=0
Vocaloid
  • Vocaloid
good, so x = 10 there is only one solution, so our answer is A

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