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Sagot :
Answer:
[tex]a. \: 6x + 12 - 10 = 6x + 2 \\ 6x + 2 = 6x + 2 \\ infinite \: solutions \\ \\ b. \: 6x + 12 - 12 = 6x + 2 \\ 6x = 6x + 2 \\ no \: solutions \\ \\ c. \: 6x + 12 - 10 = 2x + 10 \\ 6x + 2 = 2x + 10 \\ 4x = 8 \\ x = 2 \\ one \: solution \\ \\ d. \: 4x - 2 = 4x - 8 + 6 \\ 4x - 2 = 4x - 2 \\ infinite \: solutions \\ e. \: 6x - 12 = - 12 + 6x \\ infinite \: solutions[/tex]
Answer:
A) Infinitely Many Solutions
B) No Solution
C) One Solution (x = 2)
D) Infinitely Many Solutions
E) Infinitely Many Solutions
Step-by-step explanation:
A) 6(x+2)-10=6x+2
Simplify:
6 (x + 2) - 10 = 6x + 2
6x + 12 - 10 = 6x + 2
12 - 10 = 2
2 =2
Infinitely Many Solutions
B) 6(x+2)-12=6x+2
Simplify:
6 (x + 2) - 12 = 6x + 2
6x + 12 - 12 = 6x + 2
12 - 12 = 2
0 = 2
No Solution
C) 6(x+2)-10=2x+10
6 (x + 2) - 10 = 2x + 10
6x + 12 - 10 = 2x + 10
6x +2 = 2x + 10
4x = 8
x = 2
One Solution
D) 4x-2=4(x-2)+6
4x - 2 = 4 (x - 2) + 6
4x - 2 = 4x - 8 + 6
-2 = -8 + 6
-2 = -2
Infinitely Many Solutions
E) 2(3x-6)=6(-2+x)
2 (3x - 6) = 6 (-2 + x)
6x - 12 = -12 + 6x
6x = 6x
0 = 0
Infinitely Many Solutions
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