Which of the following shows the equation that creates a true equivalent system?
A. -14x - 8y = 8
B. -14x - 8y = -8
C. -12x - 12y = 24
D. 12x + 12y = 24
The correct answer is option D.
In a system of equations, two equations are considered equivalent if they have the same solution. To create an equivalent system, we can multiply both sides of an equation by a non-zero number.
Comparing the given options, we see that option D can be multiplied by -1 to obtain the equation -12x - 12y = -24, which is equivalent to -12x - 12y = 24.
Options A, B, and C cannot be made equivalent to each other or option D by multiplication with a non-zero number.