Question

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

Answer 1

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