Determine whether the equation has no solution, one solution, or infinitely many solutions. 7(12 – 2 x ) = 4(3 – 3 x )

Answers

infinitely manyone solutionno solutionone solution

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.

___

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.

Step-by-step explanation:

1) 8(a + 2) = 5a +16 + 3a.

  8a + 16  = 8a +16

            8a - 8a = 16 - 16

So, one solution  a =0

2)6m + 2 – 4m = 2(m + 2)

         2m  + 2   = 2m + 4

         so, no solution.

3) 3(z + 3) = 7 + 3z + 6 - Z​

3z + 9  = 13 +2z

3z - 2z = 13 - 9

        z  = 4

So, one solution

Step-by-step explanation:


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

Drag

Once put into the quadratic formula the numbers in the square root of they are negative no solutions if it is 0 then 1 solution if more then more than one solution

no solutions

Step-by-step explanation:

-2(11-12x)=-4(1-6x)

distribute

-22 +24x = -4 +24x

Subtract 24x from each side

-22+24x-24x = -4 +24x -24x

-22 = -4

This is never true, so there are no solutions

equation 1 has no solutions

Equation 2 has no solutions

Equation 3 has one solution

Idk if I'm 100% right tho

Step-by-step explanation:

The equation has one solution

Step-by-step explanation: First , open the brackets

7( 12 - 2x ) = 4 (3 - 3x )

84 - 14x = 12 - 12x

collect the like terms

84 - 12 = - 12x + 14x

72 = 2x

Therefore divide through by 2

x = 72/2

x = 36

Therefore, the equation has only one solution



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