Question 750730
x = candle y = match

4x + 3y = $34....1
2x +  y = $16....2

Multiply (2) by 3

4x + 3y = $34....1
6x + 3y = $48....2

Subtract (1) from (2)

2x     =  $14
 x     =  $7
Substitute $7 for x in:

4x + 3y = $34
28 + 3y = $34
     3y = $34 - $28
     3y = $6
      y = $2

Candles cost $7 and matches cost $2

Hope this helps :-)