Kevin sold 2 unicycles and 1 bicycle for a total of $110. Greg sold 4 unicycles and 3 bicycles for a total cost of $268. What is the cost of 1 bicycle?

Simultaneous Equations

2u + b = $110

4u + 3b = $268

(x2) 4u + 2b = $220

(x1) 4u + 3b = $268

If both the matching coefficients are the same, we subtract equation 2 from equation 1

2b - 3b = - b

$220 - $268 = $-48

-b = - $48

b = $48

If you want to find out what a unicycle costs ...

Substitute b = $48 into the first equation

2u + $48 = $110

Balance the equation, whatever happens on one side, happens on the other.

2u + $48 (-$48) = $110 (-$48)

2u = $62

2u (/2) = $62 (/2)

u = $31