Consider the simultaneous equations .

Other · Multi-part · ISC · Mathematics · Algebra (Matrices and Determinants) · Systems of linear equations

Problem

Consider the simultaneous equations

\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?

Related theory

Pair of Linear Equations
Linear Equations in One Variable
Substitution method
Number pyramids
Linear equation word problems
Elimination method
Cross-multiplication method
Consistency and inconsistency

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