Solve the system of linear equations using any method.
-6y + 2 = -4x
y – 2 = x

x=-5 and y=-3

Step-by-step explanation:

-6y+2=-4x convert this into standard form

  y=x+2

  plug in the slope intercept form in to y

  -6(x+2)+4x=-2

  -6x-12+4x=-2

  -2x-12=-2 now solve for x

  -2x-12+12=-2+12

  -2x=+10

  x=-5 now solve for y

  y=-5+2

  y=-3

  so basically x=-5 and y=-3

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is