Question
Q8 Solve the system by graphing. (Hint: create a 5 by 5 coordinate plane)
y=−53x+3
y=13x−3
y=−53x+3
y=13x−3
Answers
GPT-5 mini
Set the right-hand sides equal to find the intersection:
-53x + 3 = 13x - 3
-66x = -6
x = 1/11
Then y = 13(1/11) - 3 = 13/11 - 33/11 = -20/11.
Solution: (x,y) = (1/11, -20/11) ≈ (0.0909, -1.8182).
To graph: plot the y-intercepts (0,3) and (0,-3) and draw each line through its intercept with the given slope; they meet at the point above. (Because the slopes are very steep, you may want to use a ruler and a fine scale or plot the exact intersection point.)
-53x + 3 = 13x - 3
-66x = -6
x = 1/11
Then y = 13(1/11) - 3 = 13/11 - 33/11 = -20/11.
Solution: (x,y) = (1/11, -20/11) ≈ (0.0909, -1.8182).
To graph: plot the y-intercepts (0,3) and (0,-3) and draw each line through its intercept with the given slope; they meet at the point above. (Because the slopes are very steep, you may want to use a ruler and a fine scale or plot the exact intersection point.)