Answer:
A.
Step-by-step explanation:
The given equation is

We solve for y by subtracting 3x from both sides to obtain;

We now divide through by -7 to get;

This simplifies to;

This equation is now in the form y=mx +c, where
is the slope.
Answer:
Step-by-step explanation:
<h3>Solving linear equation with one variable:</h3>
1) -4 + 3x = 4x - 8
Add 4 to both sides
-4 + 3x + 4 = 4x - 8 + 4
3x = 4x - 4
Subtract 4x from both sides,
3x - 4x = -4x + 4x - 4
-x = -4

2) -5x - 8 = 2
Add 8 to both sides
-5x - 8 + 8 = 2 + 8
-5x = 10
Divide both sides by (-5)


3) 12r - 14 = 5(2-r)
12r - 14 = 5*2 - 5*r
12r - 14 = 10 - 5r
Add 14 to both sides
12r - 14 + 14 = 10 - 5r + 14
12r = 24 - 5r
Add 5r to both sides
12r + 5r = 24
17r = 24
Divide both sides by 17
r = 24/17
4) 3x - 8 = -(17 + 2x)
3x - 8 = -17 - 2x
Add 8 to both sides
3x - 8 + 8 = -17 - 2x + 8
3x = -9 - 2x
Add 2x to both sides
3x + 2x = -9
5x = -9
Divide both sides by 5

The machines represent equivalent expressions.
The output produced by both machines is 372
The equation represented on machine A is:

The equation represented on machine B is:

Where: x and y represent the inputs and the outputs, respectively
When the outputs are the same, it means:

So, we have:

Open brackets


Collect like terms


Divide both sides by 2

Substitute 39 for x in 


Hence, the output produced by both machines is 372
Read more about equivalent expressions at:
brainly.com/question/15715866