4.
4y – 1 = x
8x + 7y = -47
A) x = 3, y = 1
B) x = -1, y = -2
C) x = -3, y = -1
D) x = 1, y = 3
Solve the system of equations: 4y – 1 = x 8x + 7y = -47 What are the values of x and y?
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4.
4y – 1 = x
8x + 7y = -47
A) x = 3, y = 1
B) x = -1, y = -2
C) x = -3, y = -1
D) x = 1, y = 3
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