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Answer:

Step-by-step explanation:
Using a point (4, -4) and the slope of the line that passes through it, m = -⁵/2, we can generate an equation by using the point-slope form equation of a line given as y - b = m(x - a).
Where,
(a, b) = (4, -4)
m = -⁵/2
Plug in the values
y - (-4) = -⁵/2(x - 4)
y + 4 = (-5x + 20)/2
Multiply both sides by 2
2y + 8 = -5x + 20
Subtract both sides by 8
2y = -5x + 20 - 8
2y = -5x + 12
Divide both sides by 2
y = -⁵/2x + 12/2
(equation in slope-intercept form)
Answer:
The answer is below
Step-by-step explanation:
The next step to solve the system, would be to divide the second row by 3 and we would be left with: 3 * R2
[1 -5 3 0 -2
0 1 -7/3 0 4/3
0 0 1 2 -2]
Then what we will do is multiply row 3 by 7/3 and then subtract it from row 2, that is, R2 - 7/3 * R3, and it would look like this:
[1 -5 3 0 -2
0 1 0 14/3 -10/3
0 0 1 2 -2]
And these would be the next two steps in the process of solving the system.