Final answer:
It would be more convenient to solve the given system of equations by a. elimination, as the coefficients of y are multiples of each other.
Step-by-step explanation:
To decide whether it would be more convenient to solve the system of equations by substitution or elimination, we need to inspect the coefficients of the variables. The given system is:
-15x + 2y = -6
14x + 4y = -2
By examining the coefficients of x and y, we can see that the coefficients of y (2 and 4) are multiples of each other. Therefore, it would be convenient to use the elimination method. By multiplying the first equation by 2, we can align the coefficients of y so that they cancel each other out when we add or subtract the equations.
This leads to:
-30x + 4y = -12
14x + 4y = -2
Subtracting one equation from the other eliminates y, allowing us to solve for x. After finding the value of x, we can substitute it back into one of the original equations to find the value of y.