Solve the system of equations algebraically.

2x+y=5
3x−3y=3
(x, y)= (

substitution

2x+y=5

y = -2x+5 (1)

3x-3y=3 (2)

1 ⇒ 2

3x - 3(-2x+5) = 3

3x+6x-15=3

9x=18

x=2

y = -2(2)+5

y = 1

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

( - 4 , -7 )

all the lines must parallel  

step-by-step explanation:

coordinates of c = ( - 1 , 2 )

3 units left = ( -4 , 2 )

9 units down = ( - 4 , 11 )