Consider the simultaneous equations .

MATHEMATICS · Multi-part · CBSE · Mathematics · Pair of Linear Equations in Two Variables · Pair of Linear Equations in Two Variables

Problem

Consider the simultaneous equations {y=4x+72y−8x=1\begin{cases} y = 4x + 7 \\ 2y - 8x = 1 \end{cases} . (1) Graph each line on the same set of axes. What do you notice? (2) Try to solve the simultaneous equations using: - substitution - elimination - technology. (3) How many solutions does this system of simultaneous equations have?

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