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PolarNik [594]
3 years ago
14

Solve the equation:

}{9}" alt="\frac{21 - 4x}{9}" align="absmiddle" class="latex-formula"> + \frac{8x + 15}{3} = 2
Mathematics
1 answer:
schepotkina [342]3 years ago
3 0

Answer:

x = -\frac{12}{5}

Step-by-step explanation:

To solve the equation, isolate x. Whatever you do to isolate x one on side, you must do to the other.  

1) Multiply both sides by 9 to get rid of the fractions.  

\frac{21-4x}{9} +\frac{8x+15}{3} = 2 \\21-4x + 3(8x + 15) =18 \\

2) Distribute the 3 to 8x and 15. Then, combine like terms.

21-4x + 24x + 45 = 18 \\66 + 20x = 18

3) Move the 66 to the other side, subtracting 18 by 66, then divide each side by 20 to finally isolate x.

20x = -48\\x = -\frac{48}{20} \\x =- \frac{12}{5}

Thus, x = -\frac{12}{5}.

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What is the value of x in the equation 8+4 = 2(x-1)?<br> 5<br> 11/2<br> 13/2<br> 7
Citrus2011 [14]

Answer:

x = 7

Step-by-step explanation:

I hope this helps!

4 0
3 years ago
Write the equation of a line that is perpendicular to y=7x−2 and passes through the point (14,8).(1 point) y=7x−90 y=10x−17 y=−1
True [87]

Answer:

\huge\boxed{y=-\frac{1}{7}x+ 10}

Step-by-step explanation:

In order to find the equation of this line, we need to note two things.

  • A) The slope of two lines that are perpendicular will be opposite reciprocals (that is, multiplying them gets us -1.)
  • B) We can substitute a point inside an incomplete equation to try and find a missing value.

So first, let's find the opposite reciprocal of 7 which will be the slope to this equation.

  • <u>Reciprocal of 7:</u>    \frac{1}{7}
  • <u>Opposite of </u>\frac{1}{7}:    -\frac{1}{7}

So the slope of this line will be -\frac{1}{7}. The y-intercept will change, and we can substitute what we know into the equation y=mx+b.

y = -\frac{1}{7}x+b

Now, we can substitute a point on the graph (14, 8) into this equation to find b.

  • 8 = -\frac{1}{7} \cdot 14 + b
  • 8 = -\frac{14}{7} + b
  • 8 = -2 + b
  • b = 10

Now that we know the y-intercept, we can finish off our equation by plugging that in.

y = -\frac{1}{7}x + 10

Hope this helped!

7 0
2 years ago
Read 2 more answers
How to compare an order fraction into a decimal
Nitella [24]
You can convert the fraction to a decimal form.
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3 years ago
What is 8×8=n×10 plz i need this​
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Answer:

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Step-by-step explanation:

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2 years ago
What is the solution to this equation?
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Answer:

C. x=13

Step-by-step explanation:

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3 years ago
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