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pychu [463]
3 years ago
5

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

Mathematics
1 answer:
hodyreva [135]3 years ago
5 0

(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

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