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).

11

Step-by-step explanation:

AB = 3x + 4 and AC which is twice of AB is equal to 11x - 17

2 (3x + 4) = 11x - 17

6x + 8 = 11x - 17

8 + 17 = 11x - 6x

25 = 5x

5 = x

AC = CD = 11x - 17 ➡ 11×5 - 17 = 38

CD = 38 and DE = 49 - 38 = 11