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trasher [3.6K]
3 years ago
9

Which is a correct first step for solving this equation? 8−2(3−x)=4x+6

Mathematics
2 answers:
FromTheMoon [43]3 years ago
7 0
First you should distribute the left side 

<span>8−2(3−x)=4x+6 
8 - 6 +2x = 4x +6
2 + 2x = 4x + 6
    -4x     -4x

2 - 2x = 6
-2        -2

-2x = 4 Divide both sides by -2

x = -2 </span>
Georgia [21]3 years ago
7 0
Let's solve your equation step-by-step.<span><span>8−<span>2<span>(<span>3−x</span>)</span></span></span>=<span><span>4x</span>+6</span></span>Step 1: Simplify both sides of the equation.<span><span>8−<span>2<span>(<span>3−x</span>)</span></span></span>=<span><span>4x</span>+6</span></span><span><span><span>8+<span><span>(<span>−2</span>)</span><span>(3)</span></span></span>+<span><span>(<span>−2</span>)</span><span>(<span>−x</span>)</span></span></span>=<span><span>4x</span>+6</span></span>(Distribute)<span><span><span><span>8+</span>−6</span>+<span>2x</span></span>=<span><span>4x</span>+6</span></span><span><span><span>(<span>2x</span>)</span>+<span>(<span>8+<span>−6</span></span>)</span></span>=<span><span>4x</span>+6</span></span>(Combine Like Terms)<span><span><span>2x</span>+2</span>=<span><span>4x</span>+6</span></span><span><span><span>2x</span>+2</span>=<span><span>4x</span>+6</span></span>Step 2: Subtract 4x from both sides.<span><span><span><span>2x</span>+2</span>−<span>4x</span></span>=<span><span><span>4x</span>+6</span>−<span>4x</span></span></span><span><span><span>−<span>2x</span></span>+2</span>=6</span>Step 3: Subtract 2 from both sides.<span><span><span><span>−<span>2x</span></span>+2</span>−2</span>=<span>6−2</span></span><span><span>−<span>2x</span></span>=4</span>Step 4: Divide both sides by -2.<span><span><span>−<span>2x</span></span><span>−2</span></span>=<span>4<span>−2</span></span></span><span>x=<span>−2</span></span>Answer:<span>x=<span>−2</span></span>
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svetoff [14.1K]

Answer:

a = 8.5t

y = 32.55

Step-by-step explanation:

Solving (9): The equation of the table

We start by calculating the slope (m)

m = \frac{a_2 - a_1}{t_2 - t_1}

Where:

(t_1,a_1) = (15,127.5)

(t_2,a_2) = (16.5,140.25)

m = \frac{140.25 - 127.5}{16.5 - 15}

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a = m(t - t_2) + a_2

So, we have:

a = 8.5(t - 16.5) + 140.25

Open bracket

a = 8.5t - 140.25 + 140.25

a = 8.5t

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Answer:

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