A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
x+y=2 and 2x+5y=16
what is the solution
anonymous
 one year ago
x+y=2 and 2x+5y=16 what is the solution

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you just want the answer or the work to solve it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0work so i could solve other ones

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0x+y=2 and 2x+5y=16 for the variables x and y. This means, see if it can be simplified at all before attempting to solve it. x+y evaluates to x+y So, allinall, your first equation can be written as: x+y = 2  Now, let's work on your second equation,2x+5y=16 Multiply x and 2 Multiply x and 1 answer is x 2*x evaluates to 2x Multiply y and 5 Multiply y and 1 The y just gets copied along. The answer is y roblem to solve is: The goal here is to solve x+y=2 and 2x+5y=16 for the variables x and y. First, let's work on your first equation,x+y=2 This means, see if it can be simplified at all before attempting to solve it. x+y evaluates to x+y So, allinall, your first equation can be written as: x+y = 2 Now, let's work on your second equation,2x+5y=16 Multiply x and 2 Multiply x and 1 The x just gets copied along. The answer is x x 2*x evaluates to 2x Multiply y and 5 Multiply y and 1 (The y just gets copied along.) The answer is y y 5*y evaluates to 5y 2*x+5*y evaluates to 2x+5y So, allinall, your second equation can be written as: 2x+5y = 16 After this initial survey of the equations, the system of equations we'll set out to solve is: x+y = 2 and 2x+5y = 16 Let's start by solving x+y = 2 for the variable x. Move the y to the right hand side by subtracting y from both sides, like this: From the left hand side: y  y = 0 The answer is x From the right hand side: The answer is 2y nowwww u solve 2x+5y = 16 for the variable y. Move the 2x to the right hand side by subtracting 2x from both sides From the left hand side: 2x  2x = 0 The answer is 5y From the right hand side: The answer is 162x now its 5y = 162x The last step is to divide both sides of the equation by 5 like this: To divide y by 1 The y just gets copied along in the numerator. The answer is y 5y ÷ 5 = y To divide 162x by 5 divide each term in 162x by 5 term by term. 16 ÷ 5 = 16/5 To divide x by 1 The x just gets copied along in the numerator. The answer is x 2x ÷ 5 = 2/5x The solution to your equation is: y =16/52/5x Now, plug the earlier result, x=2y, in for x everywhere it occurs in y=16/52/5x. his gives y=16/52/5(2y). Now all we have to do is solve this for y,to have our first solution. 16/5 evaluates to 16/5 2/5 evaluates to 2/5 2y evaluates to 2y Multiply 2/5 by 2y we multiply 2/5 by each term in 2y term by term. Multiply 2/5 and 2 1 2/5 × 2 =4/5 Multiply 2/5 and y Multiply 1 and y The y just gets copied along. Yeah you get the point just keep bringing it down then Lastly, to find the solution for x, we plug this answer for y into the earlier result that x=2y. This gives x=2(4). Now, simplify this. 2(4) evaluates to 2 x= 2 So, the solutions to your equations are: x= 2 and y= 4
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.