Algebra:System of Equations, System word problems.

2 adult tickets and 3 student tickets cost $12.

1 Adult ticket and 2 student tickets costs $7.

How much does each kind of ticket cost?

Let x be the price of a student ticket and y be the price of an adult ticket.....and we have

3x + 2y = 12

2x +  y  =   7    which implies that   y = 7 - 2x...........subbing this into the first equation, we have

3x + 2 [ 7 - 2x]  = 12  simplify

3x + 14 - 4x  =  12

-x  + 14 = 12        add x to both sides and subtract 12 from both sides

x = 2       the price of the student ticet is $2

And using  y = 7 - 2x, the price of the adult ticket  is : 7 - 2(2)   =  7 - 4 = $3

Someone help, please.

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2 adult tickets and 3 student tickets cost $12.

1 Adult ticket and 2 student tickets costs $7.

How much does each kind of ticket cost

Let an adult ticket be A

Let a student ticket be S, we have:

2A + 3S=12, and

A + 2S=7

A=7 - 2S substitute

2(7-2S) + 3S=12

14 -4S +3S =12

14 -S=12

S=$2 price of stuent ticket, and

A +4=7

A=$3 price of adult ticket