A community for students.
Here's the question you clicked on:
 0 viewing
Kellie13
 3 years ago
4(x+y)=x16
Kellie13
 3 years ago
4(x+y)=x16

This Question is Open

Kira_Yamato
 3 years ago
Best ResponseYou've already chosen the best response.04(x+y) = x16 4x+4y = x16 3x+4y = 16

Kellie13
 3 years ago
Best ResponseYou've already chosen the best response.0the rest of the equation I forgot to place in: 3(xy)=y+10

richyw
 3 years ago
Best ResponseYou've already chosen the best response.1So you have this system of equations\[4(x+y)=x16\]\[3(xy)=y+10\]First solve the first equation for one of the variables\[4x+4y=x16\]\[4y=3x16\]\[y=\frac{3}{4}x4\]Now plug that value into the second equation and solve for the second variable\[3x+3y=y+10\]\[3x+2y=10\]\[3x+2\left(\frac{3}{4}x4\right)=10\]\[3x\frac{3}{2}x8=10\]\[\frac{63}{2}x=18\]\[\frac{9}{2}x=18\]\[x=4\]Now plug that value of x into either equation to solve for y.\[4(x+y)=x16\]\[4(4+y)=416\]\[16+4y=20\]\[4y=4\]\[y=1\]So the solution is x=4, y=1

richyw
 3 years ago
Best ResponseYou've already chosen the best response.1the second last line I dropped the negative it should say \[4y=4\]\[y=1\]So the solution is x=4, y=1

dpgreen
 3 years ago
Best ResponseYou've already chosen the best response.0just to let you know, you dont only have to do the substitution process, you can also do elimination. 4(x+y)=x−16 −3(x−y)=y+10 distribute to get 4x+4y=x−16 3x+3y=y+10 the subtract the common terms from each other to get final answer
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.