A company has an income of $100,000 before paying taxes and a bonus. The bonus (B) is to be 20% of the income after deducting income taxes (T) but before deducting the bonus.

So B = 0.20(100,000 - T ).

Because the bonus is a deductible expense, the amount of income tax (T) at a 40% rate is 40% of the income after
deducting the bonus.

So T = 0.40(100,000 - B).

a) Use a graph to estimate the values of T and B that satisfy both equations.

b) Solve the system algebraically to find the bonus and the amount of tax.