Question

3x+7+10x=7+13x+10 has {fill in blank} solutions.

-6x-6+8x=-5+2x-1 has {fill in blank} solutions.

choices for both are
infinitely many,one,two,three

Answer 1

Answers:

1. No solutions

2. Infinitely many solutions

Explanation:

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

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

`13x+7=17+13x`

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

`7\\eq 17`

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

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

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

`2x-6=-6+2x`

Reorder the right side of the equation

`2x-6=2x-6`

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

Answer 2

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.

#teamstrees #WAP (Water And Plant)