Respuesta :

Answer and Step-by-step explanation:

3x + 7 + 10x = 7 + 13x + 10

13x + 7 = 13x + 17

0 = 10

No solutions

-6x -6 + 8x = -5 + 2x -1

2x - 6 = -6 + 2x

0 = 0

Many solutions.

The first equation has no solutions.

The second equation has infinitely many solutions.

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Answers:

1. No solutions

2. Infinitely many solutions

Step-by-step explanation:

[tex]3x+7+10x=7+13x+10[/tex]

Add common terms from both sides of the equation (10x and 3x) & (7 and 10)

[tex]13x+7=17+13x[/tex]

Subtract common terms from both sides (13x and 13x)

[tex]7\neq 17[/tex]

7 does not equal 17; thus, there are no solutions

[tex]-6x-6+8x=-5+2x-1[/tex]

Add common terms from both sides of the equation (-6x and 8x) & (-5 and -1)

[tex]2x-6=-6+2x[/tex]

Reorder the right side of the equation

[tex]2x-6=2x-6[/tex]

Since this is a true statement, there are infinitely many solutions

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