Answer: the first number is 6
The second number is - 1
Step-by-step explanation:
Let x represent the first number.
Let y represent the second number.
Seven times the first number plus 6 times the second number equals 36. This means that
7x + 6y = 36- - - - - - - - - - - - 1
Three times the first number minus ten times the second number is 28. This means that
3x - 10y = 28 - - - - - - - - - - -2
Multiplying equation 1 by 3 and equation 2 by 7, it becomes
21x + 18y = 108
21x - 70y = 196
Subtracting, it becomes
88y = - 88
y = - 88/88
y = - 1
Substituting y = - 1 into equation 1, it becomes
7x + 6 × - 1 = 36
7x - 6 = 36
7x = 36 + 6 = 42
x = 42/7
x = 6
