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Brut [27]
4 years ago
6

Use the elimination method to solve the system of equations? 6x+2y=8 12x+y=22

Mathematics
1 answer:
Xelga [282]4 years ago
3 0

The solution is: x=2, y=-2

Step-by-step explanation:

Given equations are:

6x+2y=8         Eqn 1

12x+y=22       Eqn 2

Multiplying Eqn 1 by 2

2(6x+2y)=2(8)\\12x+4y=16      Eqn 3

Subtracting Equation 2 from eqn 3

12x+4y-(12x+y)=16-22\\12x+4y-12x-y=-6\\3y=-6\\Dividing\ both\ sides\ by\ 3\\\frac{3y}{3}=\frac{-6}{3}\\y=-2

Putting y=-2 in eqn 2

12x-2=22\\Adding\ 2\ on\ both\ sides\\12x-2+2=22+2\\12x=24\\Dividing\ both\ sides\ by\ 12\\\frac{12x}{12} = \frac{24}{2}\\x=2

The solution is: x=2, y=-2

Keywords: Linear equations, Elimination Method

Learn more about elimination method at:

  • brainly.com/question/9738996
  • brainly.com/question/10015690

#LearnwithBrainly

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alexdok [17]

Answer:

If a parking garage charges $21 for 6 hours in order to find out how much it charges per hour you will need to divide 21 by 6:

21÷6=3.50

So in conclusion a parking garage charges

$3.50/hour

5 0
3 years ago
X - 4x - 12 = (x __ 2)(x ____ 6)<br> where do the plus and equal sign go
Romashka-Z-Leto [24]

Step-by-step explanation:

x - 4x - 12 = (x __ 2)(x ____ 6)

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5 0
3 years ago
Wirte a decimal for each of the following 9x100+2x10+3x0.1+7x0.001
borishaifa [10]

We need to perform multiplication and addition property for this problem to represent the final result in decimal form. So, the expression is,

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Now we can all the numbers. Hence,

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4 0
3 years ago
What is the numberpattern in 4-14-30-?
maria [59]

Answer: You can count them by 2?

Step-by-step explanation:

2 4 6 8 10 12 14 16 18 20 22 24 26 28 30

8 0
3 years ago
(13 + v) =-121 hey yall can yall show the work for the problem​
bazaltina [42]
<h3>Hello there!</h3>

In this question, we're solving for v

Lets solve:

(13 + v) = -121

Subtract 13 from both sides

v = -134

<h3>Answer: v = -134</h3><h3>I hope this helps!</h3><h3>Best regards,</h3><h3>MasterInvestor</h3>
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3 years ago
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