Answer:
(c) III
Step-by-step explanation:
If you simplify the equations and the left side is identical to the right side, then there are an infinite number of solutions: the equation is true for all values of x.
Another way to simplify the equation is to subtract the right side from both sides. If that simplifies to 0 = 0, then there are an infinite number of solutions.
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<h3>I. </h3>
2x -6 -6x = 2 -4x . . . . eliminate parentheses
-4x -6 = -4x +2 . . . . no solutions (no value of x makes this true)
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<h3>II.</h3>
x +2 = 15x +10 +2x . . . . eliminate parentheses
x +2 = 17x +10 . . . . one solution (x=-1/2)
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<h3>III.</h3>
4 +6x = 6x +4 . . . . eliminate parentheses
6x +4 = 6x +4 . . . . infinite solutions
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<h3>IV.</h3>
6x +24 = 2x -4 . . . . eliminate parentheses; one solution (x=-7)
They are at the 31 yard line
4x = 157.2
4x/4 = 157.2/4
x = 39.3
See in the explanation
<h2>
Explanation:</h2>
In this exercise, <em>we have the following points:</em>

And <em>the following linear equations:</em>

When plotting these graphs, we find the following facts:
<h3>For (1):</h3>
We see the graph in the first figure below. The graph only passes through the point (0, 8)
<h3>For (2):</h3>
This is the second graph below. The graph passes neither through point (0, 8) nor (6, 4)
<h3>For (3):</h3>
This is the third graph below. The graph passes neither through point (0, 8) nor (6, 4)
<h3>For (4):</h3>
This is the fourth graph below. The graph only passes through the point (0, 8)
So, <em>there is no any equation of the line that passes through the points (0.8) and (6.4) at the same time.</em>
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<h2>Learn more:</h2>
About lines: brainly.com/question/12169569
#LearnWithBrainly
Answer:
-4.5r + 12.3
Step-by-step explanation:
Multiply -4.5(r-2)
-4.5r + 9 + 3.3
Add 9+3.3=12.3
-4.5r + 12.3
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