The 2012 tax rate schedule for a single taxpayer is given in

The 2012 tax rate schedule for a single taxpayer is given in the accompanying table (Internal Revenue Service, www.irs.ustreas.gov). Suppose the federal tax were simplified to be $100 plus 25% of taxable income. Use a system of equations to find the taxable income at which a single taxpayer would pay the same amount of tax under the simplified plan as under the 2012 schedule.

Solution

Suppose tax = y

and the taxable income is x

y= 100+ 0.25of x

y= 100+0.25*x     , that would be the system of equation