Question

PLEASE HELP ILL GIVE BRAINLESS

Complete the following scentences

A. The one-variable linear equation 13x + 6 = 13x + _____ has infinitely many solutions


B. The one variable linear equation x + 6 = c + _____ has no solution

C. The one- variable linear equation 4x + 5 = _____ + 10 has one solution

Answer 1

Complete the sentences by inserting the appropriate number or expression:

(A) 6 for infinitely many solutions, (B) x for no solution, and (C) 4x to obtain one solution for the one-variable linear equations.

Step-by-step explanation:

For each of the given one-variable linear equations, we are looking to complete the equation based on the number of solutions it has:

• A. The one-variable linear equation 13x + 6 = 13x + 6 has infinitely many solutions because both sides of the equation are identical, leading to an identity where every x-value satisfies the equation.
• B. The one-variable linear equation x + 6 = c + x has no solution since adding a different constant to the variable on the right would mean the two sides could never be equal, implying a contradiction.
• C. The one-variable linear equation 4x + 5 = 4x + 10 has one solution, which can be found by isolating the variable x after subtracting 4x from both sides of the equation and then solving for x.