Question

Maria solved the equation 34=x+19. Although her final answer was correct, she could have found it in a simpler way. Which sentence best explains why?

A: 19 should be added to the left side and 34 added to the right side.


B: 34 should be subtracted from both sides.


C: The variable must be moved to the left side of the equation.


D: 19 should have been subtracted from, not added to, both sides of the equation.

Answer 1

(option D) The simplest way to solve the equation 34=x+19 is to subtract 19 from both sides, directly yielding the solution for x.

Step-by-step explanation:

Maria solved the equation 34=x+19. Although her final answer was correct, she could have found it in a simpler way. The best explanation for a simpler solution is (option D): 19 should have been subtracted from, not added to, both sides of the equation. This method aligns with the principle of maintaining equality in an equation by performing the same operation on both sides. Subtracting 19 from each side of the equation simplifies it to x = 34 - 19, which yields the solution more directly.

Answer 2

D: 19 should have been subtracted from, not added to, both sides of the equation.

Step-by-step explanation:

Because if we subtract 19 from both sides, we directly get the value of x.

Equation:-

x + 19 = 34

Subtracting 19 from both sides,

=> x + 19 - 19 = 34 - 19

=> x = 15