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AysviL [449]
3 years ago
8

5x + 10 = −4x − 17 what is x

Mathematics
2 answers:
meriva3 years ago
5 0
5x + 10 = -4x - 17 
 +4x          +4x

5x + 4x = 9x

9x + 10 = -17
      -10     -10

-27

9x = -27        9x/9 = -27/9

x = -3
katovenus [111]3 years ago
4 0


this is how you solve for x;

5x + 10 = -4x -17

5x + 4x + 10 = -4x +4x -17 (add 4x on both sides)

9x + 10 = -17

9x +10-10 = -17 -10 (subtract 10 on both sides)

9x = - 27 (next do the inverse operation of x)

x = -27 ÷ 9

x = -3

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The line passes through (9,8) and is perpendicular to x-2y=-16
pickupchik [31]

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Step-by-step explanation:

Given

x-2y=-16\\Adding\ 2y\ on\ both\ sides\\x=2y-16\\Adding\ 16\ on\ both\ sides\\x+16=2y-16+16\\x+16=2y\\2y=x+16\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{x+16}{2}\\y=\frac{x}{2}+\frac{16}{2}\\y=\frac{1}{2}x+8\\

The equation is in slope-intercept form,  the coefficient of x will be the slope of given line. The slope is: 1/2

As the product of slopes of two perpendicular lines is -1.

\frac{1}{2}*m=-1\\m=-1*\frac{2}{1}\\m=-2

Slope intercept form is:

y=mx+b

Putting the value of slope

y=-2x+b

To find the value of b, putting (9,8) in the equation

8=-2(9)+b\\8=-18+b\\b=8+18\\b=26

Putting the values of b and m

y=-2x+26

Hence,

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

  • brainly.com/question/1993757
  • brainly.com/question/2048256

#LearnwithBrainly

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Step-by-step explanation:

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Step-by-step explanation:

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Read 2 more answers
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(x-3)= +-sqrt22
x = sqrt22+3 or x = -sqrt22+3
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4 years ago
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