Due tomorrow! 20
solve all
find x and y
system of linear equations

1. 2x - 3y = 4
-2x + 3y = -10

2. -2x + 5y = 6
2x - 5y = -6

3. -3x + 4y = 3
-12x + 16 = 8

4. 6x + y = -1
-6x - 4y = 4

Step-by-step explanation:

2x-3y=4

-2x+3y=-10

0=-6

no solution

No Solution

-2x+5y=6

2x-5y=-6

0=0

infinitely many solutions

Infinitely many solutions

-3x+4y=3

-12x+16=8

-12x=8-16

-12x=-8

12x=8

x=8/12

simplify

x=2/3

-3(2/3)+4y=3

-2+4y=3

4y=3-(-2)

4y=3+2

4y=5

y=5/4

x=2/3, y=5/4. (2/3, 5/4).

6x+y=-1

-6x-4y=4

-3y=3

y=3/-3

y=-1

6x-1=-1

6x=-1+1

6x=0

x=0/6

x=0

x=0, y=-1. (0, -1).

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

answer: (1,3) (3,-1) (5,-5) ?

step-by-step explanation: