Final answer:
True, when an algebraic expression is added to both sides of an equation, the new equation has the same solutions as the original equation.
Step-by-step explanation:
True. When an algebraic expression is added to both sides of an equation, the new equation has the same solutions as the original equation. This is because adding the same expression to both sides does not change the relationship between the two sides of the equation. For example, if we have the equation x + 3 = 5, adding 2 to both sides gives us x + 3 + 2 = 5 + 2, which simplifies to x + 5 = 7. Both the original equation and the new equation have the same solution, which is x = 2.