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What is the solution of the system? {2x+y=15x−y=3 Enter your answer in the boxes.

User Kishor N R
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2 Answers

2 votes

Answer:

(6,3)

Step-by-step explanation:

Have a good day!

User Ehosca
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Answer:
x = 6
y = 3

Step-by-step explanation:
The second equation given is:
x - y = 3
This can be rewritten as:
x = y + 3 .........> I
The first given equation is:
2x + y = 15 ..........> II

Substitute with I in II and solve for y as follows:
2x + y = 15
2(y+3) + y = 15
2y + 6 + y = 15
3y = 15 - 6
3y = 9
y = 9/3 = 3

Now, substitute with the value of the y in I to get x as follows:
x = y + 3
x = 3 + 3
x = 6

Hope this helps :)

User Sunlight
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