Final answer:
Ted can find the point of intersection of the lines by setting the equations equal to each other, solving for x, and then substituting this value back into either equation to find y, which results in the intersection point (2, 6).
Step-by-step explanation:
To solve for the point of intersection of the lines y = 18x - 30 and y = -22x + 50 without graphing, Ted can set the two equations equal to each other since they both represent the y-value at the point of intersection. This gives:
18x - 30 = -22x + 50.
Ted then combines like terms and solves for x:
18x + 22x = 50 + 30
40x = 80
x = 2.
Substituting this value back into either original equation to solve for y, Ted gets:
y = 18(2) - 30
y = 36 - 30
y = 6
So, the point of intersection is (2, 6).