Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Get detailed and precise answers to your questions from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

The problem solving template is a tool which can be used to help solve difficult problems. For thissample work you will use the problem solving template to set up and then solve the equation. Completeeach part of the template for the question and then solve the question with work shown in the “Do”square.Write and solve a system of linear equations: The larger of two numbers is 18 more than 5 timesthe smaller. If 3 times the larger number is increased by 4 times the smaller, the result is 16.Find the numbers by solving algebraically. Show your work including the equations.

Sagot :

Let the larger number be x.

The smaller number be y.

According to the question,

[tex]x=5y+18\ldots.(1)[/tex][tex]3x+4y=16\ldots.(2)\text{ }[/tex]

Putting x from (1) in (2) we have,

[tex]3(5y+18)+4y=16[/tex][tex]19y+54=16[/tex][tex]19y=-38[/tex][tex]y=-2[/tex]

Putting y in (1) we have,

[tex]x=5\times(-2)+18=8[/tex]

The numbers are 8,-2.

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.