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X + y = 12 and y = x - 1.
Find the value of 2x + 2y.

User Sohag Mony
by
6.7k points

2 Answers

5 votes

Answer:

2x + 2y = 24

Step-by-step explanation:

You have to isolate y and then use substitution.

x + y = 12 and y = x - 1

-x -x

y = -x + 12 and y = x - 1

-x + 12 = x - 1

+x +x

--------------------

12 = 2x - 1

+1 +1

----------------

13 = 2x

2x = 13 [ divide both sides by 2]

x = 6.5

Now, you have to plug x (6.5) into y = x - 1.

y = x - 1

y = 6.5 - 1

y = 5.5

Finally, plug both x (6.5) and y (5.5) into 2x + 2y.

2x + 2y

= 2 (6.5) + 2 (5.5)

= 13 + 11

= 24

User Ali Samii
by
6.6k points
4 votes
Answer: 2x + 2y = 24

Step-by-step explanation:

x + y = 12

2(x + y = 12)
2x + 2y = 24

So therefore, 2x + 2y = 24
User Praxis Ashelin
by
7.1k points
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