Question

Determine the number of solutions to this system of linear equations:
4x+8y=12
4
𝑥
+
8
𝑦
=
12

3x+6y=9
3
𝑥
+
6
𝑦
=
9

Answer 1

Both equations reduce to x + 2y = 3, so they represent the same line. Hence there are infinitely many solutions.

Parametric form: let t be any real number, y = t, x = 3 − 2t. (All points (3−2t, t) satisfy the system.)