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Aneli [31]
2 years ago
12

1. 2x + 7 = 2x - 7 2. 3x + 8 = -2x + 8 3. 4(x + 1) = 4x + 4

Mathematics
2 answers:
ddd [48]2 years ago
7 0
1.
2x+7=2x-7
2x-2x=-7-7
0=-14
Math error.

2.
3x+8=-2x+8
3x+2x=8-8
5x=0
x=0


3.
4(x+1)=4x+4
4x+4=4x+4
4x-4x=4-4
0=0
Correct
tino4ka555 [31]2 years ago
7 0

Answer:

Consider left and right sides of the equations as linear functions.

<u>Then:</u>

  • 1. The equation 1 has lines with the same slope (2) but different y-intercepts (7 and -7), therefore the lines are parallel and <u>no solution</u>.
  • 2. The lines have different slopes (3 and 2), therefore they intersect and there is <u>one solution</u>.
  • 3. After opening the parenthesis we get both sides same, meaning the lines are same and overlap. The equation has <u>infinitely many solutions.</u>
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