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The linear equation will be 2x + 10 = 5(x - 6). Then the value of the variable x will be 23.33.
<h3>What is the linear system?</h3>
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Translate then Solve for the variable:
The sum of two times a number and 10 is five times the difference between a number and six.
Let the number be x.
Then the equation will be
2x + 10 = 5(x - 6)
Then the value of x will be
2x + 10 = 5x - 60
5x - 2x = 60 + 10
3x = 70
x = 23.33
More about the linear system link is given below.
brainly.com/question/20379472
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He is 2√19 miles far way from starting point.
Suppose Billy starts at point A, turns at point B, and ends at point D, as shown below.
If Billy turns 60◦ northward and walks six miles, then we can draw a 30 − 60 − 90 triangle whose hypotenuse is 6 miles
It follows that Billy traveled 6/2 = 3 miles eastward during these 6 miles, and that he traveled 3√3 miles northward during these 6 miles. In total, Billy traveled 4 + 3 = 7 miles eastward and 3√ 3 miles northward.
By the Pythagorean Theorem, the distance from his starting point is q:
(7)2 + (3√3)2
=√49 + 27
= √76
= 2√19 .
Learn more about Pythagorean Theorem on:
brainly.com/question/20545047
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