toaster toaster
  • 23-04-2014
  • Mathematics
Answered

use substitution to solve the sytem: 5x-3y=-20 and x=3y-16

Answer :

brainlydotcom
brainlydotcom brainlydotcom
  • 23-04-2014
5(3y-16)-3y = -20
15y-80-3y = -20
12y = 60
y = 5
Answer Link
xlmichael xlmichael
  • 23-04-2014
[tex] 5x - 3y = -20 [/tex]
[tex] x = 3y - 16 [/tex]

Plug in 'x' into the first equation:

[tex] 5 (3y - 16) - 3y = 20 [/tex]
[tex] 15y - 80 - 3y = -20 [/tex]
[tex] 12y = 60 [/tex]
[tex] y = 5 [/tex] 

Plug in 'y' into the second equation to get 'x':

[tex] x = 3y - 16 [/tex]
[tex] x = 3(5) - 16 [/tex]
To get [tex] x = -1 [/tex]

[tex] y = 5 [/tex]
[tex] x = -1 [/tex]
Answer Link

Other Questions

how to add fractions
which statement is trueaall hexagons are triangles because they have at least 3 sides ball octagons are polygons because they have at least 3 sides call paralle
The significance of the Open Door Policy for the United States lay in its A providing a use for the Philippines as a way station between China and the United St
What number is equivalent to 450
If 38 of the perimeter of an equilateral triangle is 6ft what is the lenght of one side Draw a picture
True or False along a divergent boundary two plates slip past each othermoving in opposite directions
Karen says every equilateral triangle is acute Is this true
Help please 1 Which of the phrases below best describes tectonic force Points 1 The action of glaciers sliding across terrain The pressures created by molten ro
what is the answer 95r9r
Describe Hitlers strategy in Europe and how it affected Great Britain