Answer:
Large candle) $6.25
Small candle) $3.5
Step-by-step explanation:
Let x be the cost of a large candle and y be the cost of a small candle.
Because Lexi bought two large candles and five small candles for $30, the first equation is 2x+5y=30.
Because Carl bought one large candle and three small candles for $16.75, the second equation is x+3y=16.75
We have two equations:
2x+5y=30 and x+3y=16.75
1) Multiply both sides of x+3y=16.75 by 2 to get 2x+6y=33.5
2) Subract the two equations
2x+6y=33.5
- 2x+5y=30
= y=3.5
3) Plug y=3.5 into one of the equations.
2x+5(3.5)=30
2x+17.5=30
2x=12.5
x=6.25
4) Check the work by plugging both variable in the other equation
6.25+3(3.5)=16.75
6.25+10.5=16.75
6.75=16.75
