Please see attachment and SHOW WORK. Thank You. Will mark brainliest!!

a. Let c and b represent the numbers of capped and broken bottles, respectively. Here is the system of equations.... c + b = 15 . . . . 15 bottles have come Erica's way... 4c -2b = 6 . . . .Erica's net pay for the day is 6 centsb. By substitution, we can write an expression for b in terms of c:... b = 15 - cThen put it into the second equation:... 4c - 2(15-c) = 6... 6c - 30 = 6 . . . . eliminate parentheses... 6c = 36 . . . . . . .add 30... c = 6 . . . . . . . . . divide by 6... b = 15 - 6 = 9 . . find the value of bErica has capped 6 bottles and broken 9._____Here's one way to do it by elimination. We can divide the second equation by 2 to put it into standard form:... 2c - b = 3Now, adding it to the first equation gives... (2c -b) + (c +b) = (3) + (15)... 3c = 18 . . . . . simplify. Notice the b variable has been eliminated... c = 6 . . . . . . . divide by 3... 6 + b = 15... b = 9 . . . . . . substitute into the first equation and solve for b by subtracting 6Erica has capped 6 bottles and broken 9. (same solution as above)