Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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.

Sagot :

devishri1977

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)

                [tex]\sf \boxed{\bf x = -5}[/tex]

y = 5 - 3*(-5)

 = 5 + 15

[tex]\sf \boxed{\bf y =20}[/tex]

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.