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Daniel [21]
3 years ago
9

69= 7x + 5x + 9. Please help. I need this done by 12/4/2020

Mathematics
2 answers:
astraxan [27]3 years ago
6 0
X=5 if you are to substitute 5 for the x’a you should get 69
mel-nik [20]3 years ago
4 0
<h2><u>Answer:</u></h2><h2>  \boxed{x=5}</h2><h2 /><h2><u>Solution Steps:</u></h2>

______________________________

<h3>1.) <u>Swap sides so that all variable terms are on the left hand side:</u></h3>
  • 7x+5x+9=69

<em>  - This is an optional step. I prefer the numbers to be on the left hand side, but it's not necessary. </em>

<u> Equation at the end of Step 1:</u>

  • <u />7x+5x+9=69
  • 69=7x+5x+9

<h3>2.) <u>Combine 7x and 5x:</u></h3>
  • 7x+5x=12x

<em>  - We combine like terms because there is 2 x's, and we need 1 x. </em>

<u>Equation at the end of Step 2:</u>

  • <u />12x+9=69

<h3>3.) <u>Subtract 9 from both sides:</u></h3>
  • 9-9= Cancels Out
  • 69-9=60

<em>  - When solving problems like this, to get x alone you have to do the opposite of what you see. </em>

 - In this case, we have a positive 9. So to get rid of 9 we do the opposite: -9 on each side.

<u> Equation at the end of Step 3:</u>

  • <u />12x=60
<h3 /><h3>4.) <u>Divide both sides by 12:</u></h3>
  • 12x ÷ 12=x
  • 60 ÷ 12=5

<em>  - When solving problems like this, to get x alone you have to do the opposite of what you see. </em>

 - In this case, we have 12 being multiplied by x. So to get rid of the 12 we do the opposite: Divide by 12 on each side.

<h3 />

______________________________

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The blueprint for a fence shows a rectangle with the dimensions bin x
OleMash [197]

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Step-by-step explanation:

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5 0
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Help again and thanks..........
LenKa [72]

Answer:

  • a = $8
  • s = $5

Step-by-step explanation:

When the coefficients don't lend themselves to solution by substitution or elimination, then Cramer's Rule can be useful. It tells you the solutions to

  • ax +by = c
  • dx +ey = f

are ...

  • ∆ = bd -ea
  • x = (bf -ec)/∆
  • y = (cd -fa)/∆

Using that rule here, we find ...

  ∆ = 5·3 -6·2 = 3

  a = (5·54 -6·41)/3 = 5·18 -2·41 = 90 -82 = 8

  s = (41·3 -54·2)/3 = 41 -18·2 = 5

This math can be performed in your head, which is the intent of formulating the rule in this way.

_____

Similarly, if you expect the solutions to be small integers (as here), then graphing is another viable solution method.

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