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What is the solution to this system? 3x+2y=45 4x+-y=5
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5 votes
What is the solution to this system?
3x+2y=45
4x+-y=5

User Dennie De Lange
by
6.2k points

1 Answer

4 votes

(I)
3x + 2y = 45

(II)
4x - y = 5

Get
y alone in equation (II)


4x - y = 5\\y = 4x - 5

Insert new equation (II) in equation (I)


3x + 2(4x - 5) = 45\\3x + 8x - 10 = 45\\3x + 8x = 45 + 10\\11x = 55\\x = 5

Insert
x = 5 in equation (II)


y = 4 \cdot 5 - 5\\y = 20 - 5\\y = 15

User Anson Horton
by
5.8k points
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