kbmarcus
Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Solve the system by graphing
x+4y=8
3x+2y=-6

Sagot :

[tex]\left\{\begin{array}{ccc}x+4y=8\\3x+2y=-6\end{array}\right\\\\-----------------------\\x+4y=8\\4y=-x+8\\y=-\frac{1}{4}x+2\\for\ x=0\to y=-\frac{1}{4}(0)+2=2\to(0;\ 2)\\for\ x=4\to y=-\frac{1}{4}(4)+2=-1+2=1\to(4;\ 1)[/tex]


[tex]3x+2y=-6\\2y=-3x-6\\y=-\frac{3}{2}x-3\\for\ x=0\to y=-\frac{3}{2}(0)-3=-3\to(0;-3)\\for\ x=-2\to y=-\frac{3}{2}(-2)-3=3-3=0\to(-2;\ 0)[/tex]


[tex]Look\ at\ the\ picture.\\\\Answer:x=-4\ and\ y=3;\ (-4;\ 3).[/tex]
View image Аноним
littlestar
x + 4y = 8
=> x = 8 - 4y ------> ( 1 )

given that 3x + 2y = -6 , put value of x from ( 1 )

3 ( 8 - 4y ) + 2y = -6
24 - 12y + 2y = -6
24 + 6 - 10y = 0
10y = 30
Divide both sides by 10, we get
y = 3
put the value in ( 1 )

x = 8 - 4 ( 3 )
x  = 8 - 12
x  = -4
Therfore the solution set = {( - 4, 3 ) }
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.