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Marrrta [24]
4 years ago
6

2 (k - 5) + 3k = k + 6

Mathematics
2 answers:
AlexFokin [52]4 years ago
5 0

Answer:

4

Step-by-step explanation:

<em>2</em><em>(</em><em>k-5</em><em>)</em><em>+</em><em>3</em><em>k</em><em> </em><em>=</em><em> </em><em>k</em><em>+</em><em>6</em>

<h3><em>using</em><em> </em><em> </em><em>B</em><em>O</em><em>D</em><em>M</em><em>A</em><em>S</em><em> </em><em> </em><em>we</em><em> </em><em>remo</em><em>ve</em><em> the</em><em> </em><em>brac</em><em>ket</em><em> </em><em>first</em></h3>

<em>(</em><em>2</em><em>*</em><em>k</em><em>)</em><em>-</em><em>(</em><em>2</em><em>*</em><em>5</em><em>)</em><em>+</em><em>3</em><em>k</em><em> </em><em>=</em><em> </em><em>k</em><em>+</em><em>6</em>

<em>2</em><em>k</em><em>-</em><em>1</em><em>0</em><em>+</em><em>3</em><em>k</em><em> </em><em>=</em><em> </em><em>k</em><em>+</em><em>6</em>

<h3><em>collectin</em><em>g</em><em> </em><em>li</em><em>ke</em><em> </em><em>term</em><em>s</em><em> </em><em>we</em><em> </em><em>h</em><em>ave</em></h3>

<em>2</em><em>k</em><em>+</em><em>3</em><em>k</em><em>-</em><em>k</em><em> </em><em>=</em><em> </em><em>1</em><em>0</em><em>+</em><em>6</em>

<em>5</em><em>k</em><em>-</em><em>k</em><em> </em><em>=</em><em> </em><em>1</em><em>0</em><em>+</em><em>6</em>

<em>4</em><em>k</em><em> </em><em>=</em><em>1</em><em>6</em>

<h3><em>divid</em><em>e</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>the</em><em> </em><em>coeff</em><em>icient</em><em> of</em><em> </em><em>k</em><em> </em><em>I.e</em><em> </em><em>4</em></h3>

<em>therefore</em><em> </em><em>,</em><em>k</em><em> </em><em>=</em><em>4</em>

PolarNik [594]4 years ago
3 0

Answer:

k=4

Step-by-step explanation:

First, distribute the 2 on the left side

2 (k - 5) + 3k = k + 6

2*k +2*-5 +3k=k+6

2k-10+3k=k+6

Combine like terms on the left side

5k-10=k+6

Add 10 on both sides

5k=k+16

Subtract k on both sides

4k=16

Divide by 4 on both sides

k=4

Hope this helps! :)

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