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Select a box to identify whether each equation has no solution, one solution, or infinitely many solutions.
No Solution
One Solution
Infinitely Many Solutions
- 2x + 3 = - 3x + 2
- 2x + 3= - 2x + 3
OO
- 2x + 3 = 2x + 3

Respuesta :

arrowfighter333

Answer:

First Equation: One Solution

Second Equation: Infinite Solutions

Third Equation: One Solution

Step-by-step explanation:

Let's solve these equations step by step.

[tex]-2x+3=-3x+2\\[/tex]

Subtract 2 and add 2x

[tex]1=-x\\x=-1[/tex]

The only solution here is -1.

[tex]-2x+3=-2x+3[/tex]

Anytime the equations are the same on both sides, we have infinite solutions.

Add 2x

[tex]3=3[/tex]

Any value of x will satisfy this equation.

[tex]-2x+3=2x+3[/tex]

Add 2x and subtract 3

[tex]4x=0\\x=0[/tex]

The only solution here is 0.

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