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# System of Linear Equations

If one Bitcoin and 100,000 Dogecoin are worth $480, and two Bitcoin and 150,000 Dogecoin are worth$948, would you rather have one Bitcoin or 100,000 Dogecoin?

# System of Linear Equations Warmup

How many solutions are there for this system of equations? \begin{align} x + y = 4\\ x + y = 6 \end{align}

Lines $$a, b,$$ and $$c$$ represent three different linear equations. What is the solution for the system of $$a$$ and $$c?$$

Two of these lines intersect at a point with positive coordinates. Which two?

A: $$y = -3x -2$$

B: $$y = 3x -2$$

C: $$y = 0.5x +1$$

D: $$x = -3$$

Find $$xy$$ if $$2x + 4y = 2$$ and $$y - x = 5$$.

How many $$(x, y)$$ pairs are solutions for both of these equations?

\begin{align} x + 2y &= 4 \\ 3x + 6y &= 12 \end{align}

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