Answered

Connect with a global community of experts on IDNLearn.com. Find the answers you need quickly and accurately with help from our knowledgeable and experienced experts.

answers to these systems of two equations

4x+2y=10
x-y=13

Sagot :

Naǫidn
[tex]4x+2y=10 \\ x-y=13 \ \ \ |\times 2 \\ \\ 4x+2y=10 \\ \underline{2x-2y=26} \\ 4x+2x=10+26 \\ 6x=36 \ \ \ |\div 6 \\ x=6 \\ \\ x-y=13 \\ 6-y=13 \ \ \ |-6 \\ -y=7 \ \ \ |\times (-1) \\ y=-7 \\ \\ \boxed{(x,y)=(6,-7)}[/tex]
Anthonybakerridn
4x+2y=10

Plug in y+13 where x is on the other system.

So 4x+2y=10 would be 4(y+13)+2y=10

4(y+13)+2y=10
4y+ 52+2y=10
6y=-42 (Result of adding 4y and 2y, and subtracting 52 on both sides)
y=-7 (Result of dividing both sides by 6, finding what y equals!)

That's the first step. Right now our answer looks like this: (x, -7). We need to find what x is equal to. If we know what y is equal to we can just plug that in wherever y is. From here you can choose either of the equations. We'll go with the easier one, 4x+2y=10.

4x+2y=10
4x+2(-7)=10 (As a result of plugging in -7 for y)
4x+(-14)=10 (The equation above simplified)
4x=24 (Result of adding 14 to each side)
x=6 (Result of dividing each side by 4, finding our final answer!)

Now that we know what x and y are equal to, you now have the answer. 

The answer to the system is (6, -7)


Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! For dependable and accurate answers, visit IDNLearn.com. Thanks for visiting, and see you next time for more helpful information.