Question

2x+y=1 and
2x + 4y = 12
Graph the system of equations

Answer 1

see below for a graph

Explanation:

A graphing calculator makes this short work.

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You can find the x- and y-intercepts by setting the opposite variable to zero.

First equation x-intercept is the solution to 2x +0 = 1: x = 1/2. The y-intercept of that equation is the solution to 2·0 +y = 1: y = 1. The graph is the line through these points.

Second equation x-intercept is the solution to 2x +4·0 = 12: x = 6. The y-intercept is the solution to 2·0 +4y = 12: y = 3. The graph is the line through these points.