Question

Slope

y = 4x + 3
y = -1x -2
y = -6x - 3
y = -1x + 2
=
#1
#2
Х
Х

Answer 1

Assuming your asking for two sets of systems of equations.

#1:
`{y,x}={-1,-1}`

Steps:

Solve by Substitution :

// Solve equation [2] for the variable x

[2] x = -y - 2

// Plug this in for variable x in equation [1]

[1] y - 4•(-y -2) = 3

[1] 5y = -5

// Solve equation [1] for the variable y

[1] 5y = - 5

[1] y = - 1

// By now we know this much :

y = -1

x = -y-2

// Use the y value to solve for x

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

Solution :

{y,x} = {-1,-1}

2:
`{y,x}={3,-1}`

Steps:

Solve by Substitution :

// Solve equation [2] for the variable x

[2] x = -y + 2

// Plug this in for variable x in equation [1]

[1] y + 6•(-y +2) = -3

[1] -5y = -15

// Solve equation [1] for the variable y

[1] 5y = 15

[1] y = 3

// By now we know this much :

y = 3

x = -y+2

// Use the y value to solve for x

x = -(3)+2 = -1

Solution :

{y,x} = {3,-1}