Construct and Argument, Consider the system of equations. would you solve this system by substitution or by elimination? Explain

1 3/4x + y = 2 3/16
1/4x - y = -1 11/16

elimination, since adding the two equations eliminates y

substitution, since either equation allows an easy y="..." substitution

@oobleck I actually didn't need to do that problem I had got mixed up in my work I actually have to do 6 problems could you help me, I'm actually not good at math I have an F at the moment and I'm waiting for a tutor but I haven't heard back from the person yet.

To determine whether to solve this system of equations by substitution or elimination, we can consider the coefficients of the variables.

Looking at the two equations:
1 3/4x + y = 2 3/16 (Equation 1)
1/4x - y = -1 11/16 (Equation 2)

If we choose substitution, we would rearrange one equation to solve for one variable and then substitute that expression into the other equation. However, in this case, the coefficients of the variables in Equation 1 and Equation 2 are not easily solved for one variable.

On the other hand, if we choose elimination, we would eliminate one variable by scaling or manipulating the equations so that the coefficients will cancel each other out when added or subtracted together.

In this case, the coefficients on the y terms in Equation 1 and Equation 2 are already opposite of each other (1 and -1). To eliminate the y term, we can simply add the two equations together. This will result in the y term canceling out, allowing us to solve for x. Once we obtain the value of x, we can substitute it back into one of the original equations to solve for y.

Therefore, in this specific system of equations, the most efficient way to solve it is by using the elimination method.