Identify whether each equation has no solution, one solution, or infinitely many solutions.

1. 4x−x=2x+x

2. 2x+1=5

3. 4x+2=5x−x+4

4. 2(x+4)=4(x+2)

Step-by-step explanation:

1. 4x−x=2x+x

Simplifies to 3x = 3x, which is true for all values of x. Hence there are infinitely many solutions.

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2. 2x+1=5

True only for x=2; one solution.

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3. 4x+2=5x−x+4

Simplifies to ...

  4x +2 = 4x +4

  2 = 4 . . . . . . . not true for any value of x; no solution.

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4. 2(x+4)=4(x+2)

Simplifies to ...

  2x +8 = 4x +8

  0= 2x . . . . . . . . . subtract 2x+8

True only for x=0; one solution.

unpaid balance is : $149.99-$50 = $99.99 new balance = 149.99+2.62-50 = $102.61 finance charge = 99.99- 0.21/12= $1.75 new balance = 99.99+1.75 = $101.74 average daily balance method average daily balance= 3399.70/30 = $113.32 finance charge = $ 0.21/12ă—113.32 = $1.98 new balance = $149.99-50+1.98 = $101.97

the answer is b.)

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