Find the value of y to the following system of equations.
0.1x + 0.5y = 1.2
-0.1x - 0.2y = -0.8

  y = 4/3

Step-by-step explanation:

The two equations can be added to eliminate x:

  (0.1x +0.5y) + (-0.1x -0.2y) + (1.2) +(-0.8)

  0.3y = 0.4 . . . . . simplify

Divide by the coefficient of y to find y:

  y = 0.4/0.3

  y = 4/3

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