Question

Classify the equation as a conditional equation, an identicy, on a contradiction and then state the soluti 4+9(3x-7)=-42x-13+23(3x-2)

Answer 1

The equation 4 + 9(3x - 7) = -42x - 13 + 23(3x - 2) simplifies to an identity, which is true for any value of 'x'. Therefore, the set of all real numbers is the solution to this equation.

Step-by-step explanation:

The equation you're working with is 4 + 9(3x - 7) = -42x - 13 + 23(3x - 2). To classify the equation and find the solution, let's first simplify both sides of the equation by distributing the numbers inside the parentheses and combining like terms.

• On the left side, we have 4 + 27x - 63.
• On the right side, we have -42x - 13 + 69x - 46.

Next, we combine like terms:

• The left side simplifies to 27x - 59.
• The right side simplifies to 27x - 59.

As we can see, both sides of the equation are equal, which means that the original equation is an identity. An identity is an equation that is true for all permitted values of the variable(s) involved. In this case, any value you substitute for 'x' will make this equation true. Therefore, there isn't just one solution to this equation; rather, it is always true, which means the set of all real numbers is the solution.