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myrzilka [38]
3 years ago
14

5(4x-7) +3 (3x+3) can someone help me please

Mathematics
1 answer:
ivann1987 [24]3 years ago
4 0

Answer:

The expression 5(4x - 7) + 3(3x + 3) can be simplified to 29x - 26

Step-by-step explanation:

The first step in solving this is to apply coefficients to the contents of the brackets:

5(4x - 7) + 3(3x + 3)

= 5 × 4x - 5 × 7 + 3 × 3x + 3 × 3

= 20x - 35 + 9x + 9

Now you can group like terms:

20x - 35 + 9x + 9

= 20x  + 9x - 35 + 9

= (20 + 9)x - 26

= 29x - 26

And that is the final answer.

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(\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{4}}}\implies \cfrac{3}{-4}\implies -\cfrac{3}{4}

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-\cfrac{3}{4}}(x-\stackrel{x_1}{4}) \\\\\\ y-5=-\cfrac{3}{4}x+3\implies y=-\cfrac{3}{4}x+8

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