Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Solve, using the substitution method.

4x + 2y = 11
x – 2 = – 2y


A.


B.


C.


D.

Sagot :

naǫ
[tex]4x+2y=11 \\ x-2=-2y \\ \\ \hbox{from the 2nd equation:} \\ x-2=-2y \\ x=-2y+2 \\ \\ \hbox{substitute -2y+2 for x in the 1st equation:} \\ 4(-2y+2)+2y=11 \\ -8y+8+2y=11 \\ -8y+2y=11-8 \\ -6y=3 \\ y=-\frac{3}{6}=-\frac{1}{2} \\ \\ \hbox{solve one of the equations for x:} \\ x=-2 \cdot (-\frac{1}{2}) +2=1+2=3 \\ \\ \hbox{the answer:} \\ x=3 \\ y=-\frac{1}{2}[/tex]
TehGuyy
4x + 2y = 11
x - 2 = -2y
First you have to get a variable alone in one of the equations.

x - 2 = -2y
   +2    +2
--------------
x = -2y + 2
Next you substitute -2y +2 for x in the second equation.

4(-2y + 2) + 2y = 11
Distribute. 

-8y + 8 + 2y = 11
Combine like terms.

-6y + 8 = 11
Get the variable (y) by itself.

-6y + 8 = 11
       -8    -8
--------------------
-6y = 3
Finally get y by itself.

-6y = 3
-----   ------
-6      -6

Y = 0.5

Now to get x you plugin the answer for y.

x - 2 = -2y
x - 2 = -2(0.5)
x - 2 = -1
   +2     +2
x = 1

(1, 0.5) Is your ordered pair. :D

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.