From the following system of equations, create a new equation by substituting the value of y from the first equation into the second equation.
From the new equation, evaluate the value of x.
= 2-4
32+3=8
Choose the correct option
(1 point)
The given system of equations is:
2x - 4 = y
32 + 3x = 8
To substitute the value of y from the first equation into the second equation, we replace y with (2x - 4):
32 + 3x = 8(2x - 4)
Now, we can simplify and solve for x:
32 + 3x = 16x - 32
Combining like terms:
3x - 16x = -32 - 32
-13x = -64
Dividing both sides by -13:
x = -64 / -13
x ≈ 4.92
Therefore, the value of x is approximately 4.92.
Option B: 5 is the correct answer.