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melomori [17]
2 years ago
12

Please explain how you got your answer, I don't quite understand how to do this.

Mathematics
2 answers:
Sliva [168]2 years ago
7 0
<h2><u>Question :-</u></h2>

Solve for y in the two equations below using substitution.

  • 2x - 8y = 6
  • -2x + 2y = 7

<h3>____________________</h3>

<h2><u>Solution :-</u></h2>

<h3><u>Given Information :-</u></h3>

  • <u>Equation 1 ➢</u> 2x - 8y = 6
  • <u>Equation 2 ➢</u> -2x + 2y = 7

<h3><u>To Find :-</u></h3>

  • Solve for y in the two equations.

<h3><u>Calculation :-</u></h3>

<u>Equation 1 ➢</u> 2x - 8y = 6

<u>Equation 2 ➢</u> -2x + 2y = 7

<em><u>Adding both equations together, by combining similar terms, We get, </u></em>

  • 2x + -2x = 0
  • -8y + 2y = -6y
  • 6 + 7 = 13

<em><u>When we combine the terms, We get,</u></em>

⇒ -6y = 13

<em><u>Now, solving for y, by divide Right Hand Side & Left Hand Side by -6, We get,</u></em>

⇒ y = \sf \frac{13}{-6}

⇒ y = \sf \frac{-13}{6}

∴ The value of y is \bf \frac{-13}{6}

<h3>____________________</h3>

<h2><u>Final Answer :-</u></h2>

The value of y is \bf \frac{-13}{6}

Hence, Option C. \bf \frac{-13}{6} is correct answer.

<h3>____________________</h3>
sp2606 [1]2 years ago
3 0

2x - 8y = 6

-2x + 2y = 7

Add the two equations together by combining like terms:

2x + -2x = 0

-8y + 2y = -6y

and 6 + 7 = 13

So when you combine the terms you end up having:

-6y = 13

Now solve for y by dividing each side by -6:

y = 13/-6

Rewrite by moving the negative sign in front of the fraction to get

y = -13/6

The answer is C.

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