annav
annav annav
  • 25-07-2017
  • Mathematics
contestada

how do you solve this system of linear equation by substitution

x-3y=-12
y=2x+9

Respuesta :

melissaerdem
melissaerdem melissaerdem
  • 25-07-2017
Finding x:
If y=2x+9, substitute y into the equation x-3y=-12.
You will get:  x-3(2x+9)=-12
Now, distribute:  x-6x-27=-12
Add like terms:  -5x-27=-12
Add 27 to both sides:  -5x=15
Divide both sides by -5:  x=-3

Now, substitute this value of x into the equation to find y:  y=2(-3)+9
Multiply:  y=-6+9
Add:  y=3

Here is the solution:  (x,y)=(-3,3)

Hope this explanation helped!




Answer Link

Otras preguntas

please help me !! pleaseee
Who is my dad? Please help
What is the first step taken when checking a student’s reading rate? 1. marking a starting point and setting a timer 2. reading out loud with a timer set 3. pra
medidas que favorecen el consumo responsable de energía del microondas​
Soit trois nombres consécutifs. Lorsque l’on soustrait le double du deuxième nombre du quadruple du premier nombre on obtient le triple du troisième nombre moin
A main-sequence star at a distance of 20 pc is barely visible through a certain telescope. The star subsequently ascends the giant branch, during which time its
Can someone Please help
what is the corerct meaning of livelihood the oil spilll threatened the livelihood of people working in the finishing and tourism industries
What is the sum of the measures of the interior angles of a 10-sided figure? o 1,440° o 180° o 360° o 1,800°
find the piece wise function ​