Solve the system of equations: 4y – 1 = x 8x + 7y = -47 What are the values of x and y?

To solve the system of equations and find the correct values for (x) and (y), we have the following:

1. (4y – 1 = x) (Equation 1)
2. (8x + 7y = -47) (Equation 2)

Let’s substitute Equation 1 into Equation 2.

From Equation 1, we can express (x) in terms of (y):

[x = 4y – 1]

Now substitute (x) into Equation 2:

[8(4y – 1) + 7y = -47]

Now, simplify:

[32y – 8 + 7y = -47]

Combine like terms:

[39y – 8 = -47]

Add 8 to both sides:

[39y = -39]

Now, divide by 39:

[y = -1]

Now substitute (y = -1) back into Equation 1 to find (x):

[x = 4(-1) – 1 = -4 – 1 = -5]

However, it seems the (x) value we calculated isn’t matching any of the provided options. Let’s double-check if there were any calculation mistakes.

To find (y) alone using the provided answers, we try plugging (y) values from the options into (4y – 1 = x