11x-3=x-13 (solve for x)

Mathematics

1 answer:

omeli [17]3 years ago

8 0

11x - 3 = x - 13
-x -x
10x - 3 = -13
+13 +13
10x = 10
---- -----
10 10
x = 1

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Now use the FOIL method to multiply each term in the first parenthesis by each term in the second parenthesis. This will look like the following:
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Remember that multiplying two negatives together equals a positive,, so the expression changes to:
$\frac{3}{8}$ x × x - $\frac{3}{8}$ x × 9 - $\frac{3}{8}$ x + $\frac{3}{8}$ × 9
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$\frac{3}{8}$ x² - $\frac{27}{8}$ x - $\frac{3}{8}$ x + $\frac{27}{8}$
Lastly,, calculate the difference of - $\frac{27}{8}$ x - $\frac{3}{8}$ x to find your final answer.
$\frac{3}{8}$ x² - $\frac{15}{4}$ x + $\frac{27}{8}$
Let me know if you have any further questions.
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