The sum of 7 times the number and 3 times the 2nd numbers 54 if the 1st number is 2 more than the 2nd number what are the 2 numbers right as this movie equations that can be used to find the numbers

1) The  series of equations that can be used to find the numbers are

7·x + 3·y = 54...(1)

x = y + 2...(2)

2) The first number is 6

The second number is 4

Step-by-step explanation:

1) The given parameters for the numbers are;

7 times the first number + 3 times the 2nd number = 54

The first number = The 2nd number + 2

Let 'x' represent the first number and let 'y' represent the second number

The following series of equations can therefore be used in finding the numbers;

7·x + 3·y = 54...(1)

x = y + 2...(2)

2) By substituting the value of x = y + 2 from equation (2) into equation (1) gives;

7·x + 3·y = 54

∴ 7×(y + 2) + 3·y = 54

7·y + 14 + 3·y = 54

10·y + 14 = 54

10·y = 54 - 14 = 40

y = 40/10 = 4

The second number = y = 4

The first number, x = y + 2 = 4 + 2 = 6

The first number, x = 6.