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e-lub [12.9K]
3 years ago
7

Solve for the unknown variable 5/3(4x-5)=4x-1/3

Mathematics
2 answers:
charle [14.2K]3 years ago
6 0

Answer:

x=3

Step-by-step explanation:

its should be equal

Ugo [173]3 years ago
3 0

Answer: BRAINLIEST PLZ

x=3

Step-by-step explanation:

5/3(4x-5)=4x-1/3

20x/3 - 25/3 = 4x -1/3 add 25/3 to both sides

20x/3=4x+24/3

20x/3=4x+8 Subtract 4x from both sides

20x/3-4x=8

20x/3 - 12x/3=8

8x/3=8 multiple both sides by 3

8x=24 divide both sides by 8

x=3

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m is the slope of the line, which can be calculated using the equation:
m = (y2 - y1)/(x2 - x1) 
We can choose any two points on the line to put into this equation. The red dots are at (0,0) and (-6,-2), so we will use those, but you would get the same answer by using any other pair of coordinates on the blue line.
m = (-2 - 0)/(-6 - 0) = 2/6 = 1/3

b is the y-intercept of the line. The y-intercept is the y-coordinate when the line crosses the y-axis. It crosses the y-axis at (0,0), so the y-intercept is 0.


Now, we plug our values back into the full equation to get the equation of the line.
y = mx + b
y = (1/3)x + 0 

So the final answer is y = (1/3)x or y = x/3, depending on how you want to write it.



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