Answer:
The cost of 1 soda is : x = $ 1
The cost of 1 hamburger is : y = $4
Step-by-step explanation:
Here, the given set of equations is:
3 x + 3 y = 15 ........ (1)
4 x + 2 y = 12 ...... (2)
Here, x represents the cost of a soda.
and y represents the cost of a burger.
Now, solving the given system of equation by ELIMINATION METHOD.
Multiply (1) with 4 and (2) with -3 , we get:
12 x + 12 y = 60 ........ (a)
-12 x - 6 y = - 36 ...... (b)
Adding both equations,we get:
12 x + 12 y -12 x - 6 y = - 36 + 60
or, 6 y = 24
or, y = 34/6 = 4
or, y = 4
Putting the value of y = 4 in (1) , w e get:
3 x + 3 y = 15 ⇒ 3 x + 3 (4) = 15
or, 3 x = 15 - 12 = 3
or, x = 3/ 3 = 1, or x = 1
Hence, here, the cost of 1 soda is : x = $ 1
And the cost of 1 hamburger is : y = $4
