Betsey is 11 years older than Waldo. Betsey's age is 15 years less than three times waldo's age. The system below models the relationship between betsey's age (b) and waldo's age (w)

Question

B = w + 11
B = 3w - 15

Which of the following methods is correct to find Betsey's and waldo's age?

Solve w + 11 = 3w - 15 to find the value of w.
Solve b + 11 = 3b - 15 to find the value of b.
Write the points where the graphs of the equations intersect the y-axis.
Write the points where the graphs of the equations intersect the x-axis.

Answer 1

Solve w + 11 = 3w - 15 to find the value of w.

By solving the equation w + 11 = 3w - 15, we find:
w + 11 = 3w - 15
26 = 2w
w = 13

Now that we have found the value of w, we can substitute it back into one of the original equations to find Betsey's age:

B = w + 11
B = 13 + 11
B = 24

Therefore, Betsey is 24 years old and Waldo is 13 years old.