Consider the simultaneous equations

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Consider the simultaneous equations {y=−2x+54x+2y=10.\begin{cases} y = -2x + 5 \\ 4x + 2y = 10. \end{cases} (1) - a Graph each line on the same set of axes. What do you notice? (2) - b Try to solve the simultaneous equations using: - i substitution - ii elimination. (3) - c How many solutions does this system of simultaneous equations have?

Related theory

Browse the problem library