SOLUTION: Find the numbers; If a times the larger of two numbers plus b times the smaller is c, and b times the larger plus a times the smaller is d. Unsure how to solve. Non - homework.

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Question 1132262: Find the numbers; If a times the larger of two numbers plus b times the smaller is c, and b times the larger plus a times the smaller is d.
Unsure how to solve. Non - homework.
Answer by ikleyn(52921) About Me  (Show Source):
You can put this solution on YOUR website!
.
You are given


ax + by = c     (1)
bx + ay = d     (2)


Solve it by using the Cramer's rule


x = %28ac+-+bd%29%2F%28a%5E2+-+b%5E2%29,

y = %28ad+-+bc%29%2F%28a%5E2+-+b%5E2%29.

Solved.

On Cramer's rule see the lessons
    - Solution of the linear system of two equations in two unknowns using determinant
    - HOW TO solve system of linear equations in two unknowns using determinant (Cramer's rule),
    - Solving systems of linear equations in two unknowns using the Cramer's rule,
in this site.