Question

Determine whether the given equation has one solution, no solution, or infinitely many solutions. 2 - 3(x + 4) = 3(3 - x) one solution no solution infinitely many solutions cannot be determined

Answer 1

Perform the indicated multiplication:    2 - 3x - 12 = 9 - 3x

Gather all the x terms on one side and all the constants on the other:

-3x + 3x = 9 + 12 - 2, or 0 = 19    

since this is never true,  2 - 3x - 12 = 9 - 3x  has no solution.

Answer 2

The given equation 2-3(x+4)=3(3-x) has no solution.

What is equation?

An equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c.

It can be a linear equation, quadratic equation, cubic equation.

How to solve equation?

We have been given an equation 2-3(x+4)=3(3-x) and we have to find the number of solution that equation posses. The easiest way of finding the number of solutions is that we will solve the equation.

Equation is as under:

2-3(x+4)=3(3-x)

2-3x-12=9-3x

-3x-10=9-3x

-3x+3x=9+10

Next step is cancelling of 3x and after that no variable will present in the equation. It shows that there are no solutions of the equation.

Hence there are no solutions for the equation 2-3(x+4)=3(3-x).

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