Question

Y = 2x + 4 6x – 3y = -12 System by substitution 10 points

Answer 1

Answer:

Infinitely many solutions

Step-by-step explanation:

$y=2x+4\\ [2] 6x-3y=-12$  < ------------- Linear equations given

Equations Simplified or Rearranged :

$y - 2x = 4 \\ [2] -3y + 6x = -12$

Solve by Substitution :

// Solve equation [1] for the variable $y$

$[1] y = 2x + 4$

// Plug this in for variable$y$  in equation$[2]$

$[2] -3*(2x+4) + 6x = -12$

[2]    $0 = 0 =>$  Infinitely many solutions

Answer 2

Answer:

(-2, 0)

Step-by-step explanation:

y = 2x+4

6x - 3y = -12

Start by simplifying the second equation by dividing everything by 3 (this will make the math easier)...

2x - y = -4

Then, substitute 2x+4 for y into the second equation (this is because y = 2x+4)...

2x-3(2x+4)=-4

Distribute the -3

2x-3(2x)-3(4)=-4

2x-6x-12=-4

Combine like terms

-4x-12=-4

Add 12 to both sides

-4x-12+12=-4+12

-4x=8

Divide both sides by -4

x=-2

Plug -2 back in for x to solve for y:

y = 2(-2) + 4

y=-4+4

y=0

(x, y) = (-2, 0)