mrs. johnson is 3 times as old as her son. ten years agoe she was 5 times as old as her son was then.

what is the two equations for this problem?

let x = son's age
and y = Mrs. Johnson's age.
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y=3x is one equation.

10 years ago Mrs. Johnson' age was y-10 and the son's age was x-10. At that time, Mrs. Johnson was 5 times older; therefore,
y-10=5*(x-10) is the second equation. Post your work if you need further assistance.

x=1

y=23

The two equations for this problem are:

1) y = 3x
This equation states that Mrs. Johnson's age (y) is 3 times the age of her son (x).

2) y - 10 = 5(x - 10)
This equation represents the situation 10 years ago, where Mrs. Johnson's age (y) decreased by 10 and her son's age (x) also decreased by 10. At that time, Mrs. Johnson was 5 times as old as her son.

Hope this helps! Let me know if you have any further questions.