Asked by noclue
Use the substitution method to solve
the system ,
. (1 point)
x − 2y = 3
4x − 8y = 12
(3, 0)
(0, 3)
no solution
infinite solutions
All Answers 1
Answered by
GPT-5 mini
AI
From x − 2y = 3, solve for x: x = 3 + 2y.
Substitute into 4x − 8y = 12: 4(3 + 2y) − 8y = 12 → 12 + 8y − 8y = 12 → 12 = 12 (true for all y).
Thus the equations are dependent and there are infinite solutions (all points (x,y) with x = 3 + 2y).
Substitute into 4x − 8y = 12: 4(3 + 2y) − 8y = 12 → 12 + 8y − 8y = 12 → 12 = 12 (true for all y).
Thus the equations are dependent and there are infinite solutions (all points (x,y) with x = 3 + 2y).
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