Question 562781
Let x be the price of the house and y be the price of the car
{{{x+y=321929}}}
The interest on the house is {{{0.01x}}}.
The interest on the car is {{{0.088y}}}
The total interest for the first year is
{{{0.01x+0.088y=25677.83}}}
Multiplying times 100 to get rid of some decimals
{{{x+8.8y=2567783}}}
The equations
{{{x+8.8y=2567783}}} and
{{{x+y=321929}}} form a system of linear equations.
It could be solved several different ways.
For example, subtracting the second equation from the first one we get
{{{x+8.8y-x-y=2567783-321929}}} which simplifies to
{{{7.8y=2245854}}} and dividing both sides by 7.8, we get
{{{y=2245854/7.8=287930}}}
Substituting that into {{{x+y=321929}}} we get
{{{x+287930=321929}}} --> {{{x=321929-287930=33999}}}
Tina bought a house for $33,999 and a car for $287,930.
Very strange.