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-BARSIC- [3]
3 years ago
7

Which system of equations has infinitely many solutions?

Mathematics
1 answer:
schepotkina [342]3 years ago
3 0

Answer: B.

4x - 2y = 8\\-4x + 2y = -8

Step-by-step explanation:

Let's solve your system by elimination.

4x−2y=8;−2x+2y=6

Add these equations to eliminate y:

   4x-2y=8  

 -2x+2y=6    

  2x=14

Substitute 7 for x in 4x−2y=8:  

(4)(7)−2y=8

−2y+28=8  (Simplify both sides of the equation)  

−2y+28+−28=8+−28  (Add -28 to both sides)

−2y=−20  

−2y/−2=−20/−2  (Divide both sides by -2)  

y=10

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Rewrite the equation in Ax+By=C form Use the integers for A, B, and C <br><br><br>y=1/2x+6
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The equation in required form is: -x+2y = 12

Step-by-step explanation:

Given equation is:

y = \frac{1}{2}x+6

In order to convert the equation in Ax+By = C

Multiplying both sides by 2

2y = \frac{1}{2}x * 2 + 6*2\\2y = x + 12

subtracting x from both sides

2y-x = x-x+12\\2y-x = 12\\-x+2y = 12

Hence,

The equation in required form is: -x+2y = 12

Keywords: Linear equation, slope

Learn more about linear equation at:

  • brainly.com/question/899976
  • brainly.com/question/884169

#LearnwithBrainly

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