one number added to three times another number is 24. Five times the first number added to three times the other number is 36. Find tue numbers

The value of x, the first number, is equal to 3. The value of y, the second number, is equal to 7.

x + 3y = 24

5x + 3y = 36

We can subtract both equations from each-other to cancel out a variable.

After doing so, we're left with:

-4x = - 12

Multiply each term by - 1

4x = 12

Divide both sides by 4.

x = 3

Now that we have a value for x, we can solve for y.

Plug this value into the first equation.

3 + 3y = 24

Subtract 3 from both sides.

3y = 21

Divide both sides by 3.

y = 7