5JAN2026 MTH 220 Worksheet
Problem 1. (a) Give a geometric interpretation of a linear equation in two variables. That
is, consider
ax + by = c
for fixed real numbers a, b, and c (where at least one of a and b in nonzero).
(b) Give a geometric interpretation of the solution(s) to a system of two linear equations in
two variables. What are the possibilities for the solution set?
Problem 2. (a) Give a geometric interpretation of a linear equation in three variables.
That is, consider
ax + by + cz = d
for fixed real numbers a, b, c, and d.
(b) Give a geometric interpretation of the solution(s) to a system of two linear equations in
three variables. What are the possibilities for the solution set?
(c) Give a geometric interpretation of the solution(s) to a system of three linear equations
in three variables. What are the possibilities for the solution set?
Do exercises 26, 28, 32-40 (even) & 44 in groups (at the board) as time permits.