Afamily of 2 adults and 3 children went to dinner the total bill was 42 dollars each childs dinner cost 4 dollars .how much did each adult cost

Okay i will be using a for adults and c for children. so the equation would be 2a + 3c = 42 since we know the kids dinner costs $4 we can replace c with 4 so the new equation is 2a + 3(4) = 42

3 x 4 = 12 so now you can write it as 2a + 12 = 42 now subtract 12: 2a + (12-12) = 42 - 12

now 2a = 30 now you just need to divide 30 by 2 which is 15 so the final answer is the adult dinners cost $15 each

you can check the answer by doing: 2(15) + 3(4) = 42
30 + 12 = 42
42 = 42