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sveticcg [70]
3 years ago
5

2 less than three times a number is equal to 14 more than five times the number what is the number

Mathematics
1 answer:
LuckyWell [14K]3 years ago
4 0
These questions are all about the wording.
2-x=5(x+14)

Let's solve your equation step-by-step.

<span><span>2−x</span>=<span>5<span>(<span>x+14</span>)

</span></span></span>Step 1: Simplify both sides of the equation.

<span><span>2−x</span>=<span>5<span>(<span>x+14</span>)

</span></span></span><span>Simplify:

</span><span><span><span>−x</span>+2</span>=<span><span>5x</span>+70

</span></span>Step 2: Subtract 5x from both sides.

<span><span><span><span>−x</span>+2</span>−<span>5x</span></span>=<span><span><span>5x</span>+70</span>−<span>5x

</span></span></span><span><span><span>−<span>6x</span></span>+2</span>=70

</span>Step 3: Subtract 2 from both sides.

<span><span><span><span>−<span>6x</span></span>+2</span>−2</span>=<span>70−2

</span></span><span><span>−<span>6x</span></span>=68

</span>Step 4: Divide both sides by -6.

<span><span><span>−<span>6x/</span></span><span>−6</span></span>=<span>68/<span>−6

</span></span></span><span>x=<span><span>−34/</span>3

</span></span>Answer:

<span>x=<span><span>−34/</span><span>3</span></span></span>
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Answer:

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Step-by-step explanation:

Perpendicular lines are lines which have a specific relationship. The slopes of the two lines are negative reciprocals of each other. We can find the slope easily in slope-intercept form, y=mx+b.

Since our equation is already in slope intercept form then y=5x-2 has a slope of 5.

The slope of the perpendicular line will be -1/5. This is the negative reciprocal of 5.

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Answer:

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