Final Answer:
1. The conditional statement is: "If 13 times x minus 5 equals -18, then x equals -1."
Step-by-step explanation:
The given conditional statement is a mathematical equation that states if 13x - 5 = -18, then x = -1. In this statement, the phrase "If...then" introduces a condition, and the relationship between the variables is expressed. The condition being specified is that when 13x - 5 equals -18, the corresponding value of x is -1.
Now, let's analyze the given equation. Starting with 13x - 5 = -18, we can solve for x. Add 5 to both sides of the equation to isolate the term with x: 13x = -13. Then, divide both sides by 13 to find x = -1. This solution satisfies the original equation and validates the conditional statement.
In summary, the conditional statement asserts a relationship between the expression 13x - 5 and the variable x, stating that when13x - 5 equals -18 the corresponding value for x is-1. The solution to the equation supports the validity of the conditional statement.