Graph the system of equations.
−x+2y=−8
3x−y=−6

x = -4, y = -6

Step-by-step explanation:

-x+2y = -8

3x-y = -6

x = 2y+8

3(2y+8) - y = -6

6y + 24 -y = -6

5y = -30

y = -6

x = 2(-6)+8 = -12+8 = -4

x = -4, y = -6

x = - 4

y = - 6

Step-by-step explanation:

The given system of linear equations is expressed as

- x + 2y = - 8- - - - - - - - - - - - -1

3x - y = - 6 - - - - - - - - - - - -2

We would eliminate x by multiplying equation 1 by 3 and equation 2 by 1. It becomes

- 3x + 6y = - 24- - - - - - - - - - -3

3x - y = - 6- - - - - - - - - - - -4

Adding equation 3 to equation 4, it becomes

5y = - 30

Dividing the left hand side and the right hand side of the equation by 3, it becomes

5y/5 = - 30/5

y = - 6

Substituting y = - 6 into equation 2, it becomes

3x - - 6 = - 6

3x + 6 =- 6

Subtracting 6 from the left hand side and the right hand side of the equation, it becomes

3x + 6 - 6 = - 6 - 6

3x = - 12

Dividing the left hand side and the right hand side of the equation by 3, it becomes

3x/3 = - 12/3

x = - 4

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

if x decreases by 4 then y increases by 10

step-by-step explanation: