Holds true for one value of xfrom the set (5, 12, 15, 18). Arrange the equations in increasing order of the x-values that

1 answer:

8 0

6x - 15 = 75 (Third Equation)

6x = 90

x = 15 ✅

x + (x - 10) = 26 (Fourth Equation)

x + x - 10 = 26

2x - 10 = 26

2x = 36

x = 18 ✅

5x - 3x = 10 (First equation)

2x = 10

x = 5 ✅

2(2x - 1) = 46 (Second equation)

4x - 2 = 46

4x = 48

x = 12✅

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Work Shown:

$8\text{x}y= 2(2\text{x} + y)\\\\8\text{x}y= 4\text{x} + 2y\\\\8\text{x}y - 2y= 4\text{x}\\\\y(8\text{x} - 2)= 4\text{x}\\\\y= \frac{4\text{x}}{8\text{x} - 2}\\\\y= \frac{2*2\text{x}}{2(4\text{x} - 1)}\\\\y= \frac{2\text{x}}{4\text{x} - 1}\\\\$

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Explanation:

The idea is to first get all the y terms to one side. I did this by subtracting 2y from both sides in the third step.

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Afterward there's the optional steps of simplifying (as shown in the final two steps).

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