Final answer:
To find the missing value in the solution to the equation 6x7y=4x4y, we can compare the x-coefficients and set the corresponding y-values equal to each other. Solving for y, we find y=0. Therefore, the missing value in the solution is (0, -4).
Step-by-step explanation:
To find the missing value in the solution to the equation 6x7y=4x4y, we need to evaluate the given solution (( ,−4),−4) and find the missing x-value.
First, let's compare the x-coefficients in each term: 6x and 4x. Since they are the same, we can set the corresponding y-values equal to each other: 7y = 4y.
Now, we can solve for y by subtracting 4y from both sides: 7y - 4y = 0. This simplifies to 3y = 0. Finally, we can divide both sides by 3 to solve for y: y = 0.
Therefore, the missing value in the solution is (0, -4), which corresponds to option A.