Can someone me step up and solve this problem

Problem 5

The sum of two numbers is 175

Let the two numbers be x and y

Therefore x + y = 175

Their difference is = x - y and is equal to 19

x + y = 175

x - y = 19 Add

2x = 194 Divide by 2

x = 194/2

x = 97

x + y = 175

97 + y = 175

y = 175 - 97

y = 78

Problem 4

Let the nickels = N

Let the Pennies = P

N + P = 199 (1)

0.05*N +0.01 P = 7.67 Multiply the entire equation by 100

5N + P = 767 (2) Multiply equation (1) by 5 and subtract.

5N +5P =995

- 4P = - 228 Divide by -4

P = 57

N + P = 199

N + 57 = 199

N = 199 - 57

N = 142

Answer

Pennies = 57

Nickels = 142

Check

142*5 + 57*1 = ? 767

710 + 57 = ? 767

767 = 767