Verified Answer :

garydesir1

Solve x+3y=-1 for x:

Add -3 to both sides

x+3y+-3y=-1+-3y

x=-3y-1

Substitute -3y-1 for x in 2x+2y=6

2x+2y=6

2(-3y-1)+2y=6

Simplify both sides of the equation

-4y-2=6

Add 2 both sides

-4y-2+2=6+2

-4y=8

Divide both sides by -4

-4y/-4=8/-4

y=-2

Substitute -2 for y in x=-3y-1

x=-3y-1

x= (-3)(-2)-1

Simplify both sides of the equation

x=5


Answer : D

x=5 and y=-2


I hope that's help and have a great night !


ajeigbeibraheem

In order of (x,y), the system of equation is (5, -2)

From the given system of Linear equations, Let:

  • x + 3y = -1    ------ (1)
  • 2x + 2y = 6    ----(2)

From equation (1), let:

  • x = -1 -3y

So, we will replace the value of (x) into equation (2) in order to solve for y.

∴

2(-1-3y) +2y = 6

-2 -6y + 2y = 6

-2 -4y = 6

-4y = 6 + 2

-4y = 8

y = 8/-4

y = -2

Now, we can replace the value of y into equation (1) to find x;

x + 3y = -1

x + 3(-2) = -1

x -6 = - 1

x = -1 + 6

x = 5

Therefore, in order of (x,y), the system of equation is (5, -2)

Learn more about the system of the linear equation here:

https://brainly.com/question/21404414?referrer=searchResults

Related Questions