Question

The sum of three times a number and a second number is five. two times the first number added to the second number is 10. find the two numbers.

Answer 1

Answer:

-5 , 20

Step-by-step explanation:

Forming system of linear equations and solving:

Let x and y be the first and second number respectively.

3x + y = 5 -------------(i)

       y = 5 - 3x

2x + y = 10 -------------(ii)

Method used for solving: substitution method.

Substitute y = 5 - 3x in equation (ii)

   2x + 5 - 3x = 10

   2x - 3x + 5 = 10

Combine like terms,

        -x + 5  = 10

Subtract 5 from both sides,

               -x = 10 - 5

                -x = 5

Multiply the entire equation by (-1)

                $\sf \boxed{\bf x = -5}$

y = 5 - 3*(-5)

 = 5 + 15

$\sf \boxed{\bf y =20}$