Two numbers add up to 23. 7 times the difference of the two numbers is 21. what are the two numbers?

define the variables: let x = first number, let y = second number

equation 1:

equation 2:

solve the system:

1st number:

2nd number:

show work on how to get the answers.

Equation 1:

Equation 2 :

1st number: 13

2nd number: 10

Step-by-step explanation:

Let the first number be x;

x = first number

Let the second number be y;

y = second number

Now Given, Two numbers add up to 23.

Hence the equation can be made as;

Equation 1:

Also Given, 7 times the difference of the two numbers is 21.

Hence the equation can be made as;

Dividing 7 on both side we get;

Equation 2 :

Now we will solve the system of equations we get;

We will add equation 1 and equation 2 we get;

1st number: 13

Now Substituting the value of x in equation 1 we get;

2nd number: 10

Hence Final Answer is.

Equation 1:

Equation 2 :

1st number: 13

2nd number: 10