chacematthew80
Answered

2) How many solutions does the equation 4x + 2(x-5) = 3(2x - 4) have? Write down the final form as well as if it has no solution, exactly one solution, at least two solutions, or infinitely many solutions.

Answer :

ncyd4r6ri2
No solutions ( final form is 0=-2

Answer:

No solution

Explanation:

The first step for this equation is to expand the brackets.

The equation given is: 4x + 2(x-5) = 3(2x - 4)

Once the brackets are expanded, the equation will be: 4x + 2x - 10 = 6x -12

Next up is grouping like terms on each side of the equation. Once all like terms are grouped, the equation will be: 6x - 10 = 6x - 12.  

When you are looking for the "solution" of an equation, you are essentially asking what the value of x is. In order to find the value of x, you must isolate the variable. This means that you have to manipulate the equation in order to have the variable on one side, and the constant on the other side.

  • 6x - 10 = 6x - 12
  • 0x = - 2

Since 6x - 6x leaves 0x, there is no variable. Without a variable pointing towards a constant, there is no solution.

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