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)

1 answer

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.
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