Solve as a substition system method

Question

Last year, at Heaven's Pond Car Dealership, for a particular model BWW, Jeep, and Toyota, one 

Could purchase all three cars for a total of $ 140,000. This year, due to inflation, the same cars would cost $151,830. The cost of the BMW increased 8%, the jeep 5%, and the Toyota by 12%. If the price of last year's jeep was $7000 less than the price of last year's BMW, What were the three cars last year?

Answer 1

The solution isn't bad, but the numbers are messy.

I will get you started.

B + J + T =140

1.08B + 1.05J + 1.12T = 151.83

J=B-7

Eliminate the J by substitution

2B + T =133

1.13B + 1.12T = 144.48

Now eliminate the T by substitution to get an equation in B alone, the back substitute.