Question

What is the solution of the system? Use a graph.
y = x + 5
y = –5x – 1

Answer 1

well generate a table of values for each line

y = x + 5

x: 0 : 1 : 2
y: 5 ; 6 : 7

plot the ordered pairs (0, 5), (1, 6) and (2, 7) draw a long line passing through all 3 points.

similar for the other line

y = -5x - 1

x: 0 : 1 : 2
y: -1 -6 : -11

plot the ordered pairs (0, -1) (1, -6) and (2, -11) draw the long line

the solution is the point where the 2 lines intersect