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"Is the value of x in the proportion
2x+7_3x-4 = 11_2"

User Gylaz
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Final answer:

To find the value of x in the proportion 2x+7_3x-4 = 11_2, we can first isolate x on one side of the equation. This can be done by subtracting 2x from both sides and adding 4 to both sides:

3x - 4 = 11 - 2(2x + 7)

Expanding the expression inside the parentheses and simplifying:

3x - 4 = 11 - 22x - 28

Combining like terms:

-19x = -17

Dividing both sides by -19:

x = 17/19

Explanation:

In mathematics, a proportion is a statement that two ratios are equal. In this case, we have a proportion with four terms separated by underscores. To solve for the value of x, we can isolate x on one side of the equation by performing operations on both sides until x is alone. The first step is to subtract 2x from both sides and add 4 to both sides to get rid of the second term with x:

3x - 4 = 11 - 2(2x + 7)

Next, we expand the expression inside the parentheses:

3x - 4 = 11 - 44x - 56

We combine like terms to simplify:

-19x = -35

Finally, we divide both sides by -19 to solve for x:

x = 17/19

User Joris Limonier
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