Answered

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How many solutions does this system of equations have? 2x+y=1 4x+2y=2 A.none B.exactly one C.exactly two D.infinitely many

Sagot :

konrad509
[tex]2x+y=1 \\4x+2y=2|:2\\\\ 2x+y=1\\ 2x+y=1\\ [/tex]

both equations are identical ⇒ D
FirstSineOfMadness
Given the equations 2x+y=1 and 4x+2y=2, if we divide the second equation by 2, we are left with 2x+y=1, which is the same equation as the first. This means that the lines over lap, and that there are infinite places where they "intercept"
Final answer:
D. Infinitely many
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