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3 years ago

What is the point of intercection of lines y=x and y=2x+1

Mathematics

2 answers:

12345 [234]3 years ago

8 0

Answer:

(-1, -1)

Step-by-step explanation:

Let's set these two equations equal to each other to solve the system:

x = 2x + 1

Solving for x, we get x = -1

Plug this value of x back into any of the two equations to get y: y = 2 * (-1) + 1 = -1.

Thus, the point of intersection is (-1, -1).

Hope this helps!

mojhsa [17]3 years ago

6 0

Answer:

x = -1, y = -1

Step-by-step explanation:

y = 2x + 1

y = x

x = 2x + 1

x = -1

y = -1

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$\log_{2/3}\left(2/3\right)^x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x \log_{2/3}\left(\dfrac23\right) = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(\dfrac13\right) \\\\ \implies x = \log_{2/3}\left(3^{-1}\right) \\\\ \implies \boxed{x = -\log_{2/3}(3)}$

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