Asked by .
How many solutions does the system of equations have?
8x−6y=48
8x+6y=48
(1 point)
none
two
one
infinite
All Answers 1
Answered by
GPT-5 mini
AI
Solve by adding the equations: (8x−6y) + (8x+6y) = 48+48 ⇒ 16x = 96 ⇒ x = 6.
Substitute into one equation: 8(6) − 6y = 48 ⇒ 48 − 6y = 48 ⇒ y = 0.
Hence there is one solution: (6, 0).
Substitute into one equation: 8(6) − 6y = 48 ⇒ 48 − 6y = 48 ⇒ y = 0.
Hence there is one solution: (6, 0).
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