Question

A system of linear equations is given.

{
y
=
20
x
+
40
y
=
30
x
+
10


Part A:

What is the solution to this system of linear equations?

Part B:

This system of linear equations can be graphed on a coordinate plane. Where would the solution be in relation to the graph of this system of linear equations?

Answer 1

Part A: (x, y) = (3, 100).

Part B: That point is the intersection of the two lines y = 20x + 40 and y = 30x + 10 — it lies on both lines (at x = 3, y = 100), in the first quadrant.