1) ![{y,x}={2,-2}](/tpl/images/2657/9036/c0ef1.png)
2) ![{y,x} = {-4,-2}](/tpl/images/2657/9036/404b2.png)
Step-by-step explanation:
1)
<---------- given linear equations
Equations Simplified or Rearranged :
![y - x = 4 \\3y + 5x = -4](/tpl/images/2657/9036/fddcc.png)
Graphic Representation of the Equations : PICTURE #1
![x + y = 4 \\5x + 3y = -4](/tpl/images/2657/9036/20f25.png)
Solve by Substitution :
// Solve equation [1] for the variable y
![[1] y = x + 4](/tpl/images/2657/9036/90762.png)
// Plug this in for variable y in equation [2]
![3*(x +4) + 5x = -4 \\ [2] 8x = -16](/tpl/images/2657/9036/30338.png)
// Solve equation [2] for the variable x
![8x = - 16 x = - 2](/tpl/images/2657/9036/a3d5d.png)
// By now we know this much :
![y = x+4\\ x = -2](/tpl/images/2657/9036/26c10.png)
// Use the x value to solve for y
![y = (-2)+4 = 2](/tpl/images/2657/9036/09d1e.png)
Solution :
![{y,x} = {2,-2}](/tpl/images/2657/9036/7842c.png)
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2)
<----- linear equations given
Equations Simplified or Rearranged :
![y - 2x = 0 \\ -2y - 8x = 24](/tpl/images/2657/9036/d7bae.png)
Graphic Representation of the Equations : PICTURE #2
![-2x + y = 0 \\\\-8x - 2y = 24](/tpl/images/2657/9036/16902.png)
Solve by Substitution :
// Solve equation [1] for the variable y
![[1] y = 2x](/tpl/images/2657/9036/8d9dc.png)
// Plug this in for variable y in equation [2]
![[2] -2*(2x) - 8x = 24\\ [2] - 12x = 24](/tpl/images/2657/9036/73bac.png)
// Solve equation [2] for the variable x
![[2] 12x = - 24 [2] x = - 2](/tpl/images/2657/9036/6ee42.png)
// By now we know this much :
![y = 2x \\ x = -2](/tpl/images/2657/9036/1ebce.png)
// Use the x value to solve for y
![y = 2(-2) = -4](/tpl/images/2657/9036/01055.png)
Solution :
![{y,x} = {-4,-2}](/tpl/images/2657/9036/404b2.png)
![I will give you 30points
y = x + 4
5x + 3y = -4
Help please system by substitution
And help with](/tpl/images/2657/9036/eb0a2.jpg)
![I will give you 30points
y = x + 4
5x + 3y = -4
Help please system by substitution
And help with](/tpl/images/2657/9036/030d6.jpg)