Graph the system of equations. then determine whether the system has no solution, one solution, or infinitely many solutions. if the system has one solution, name it.

It has one solution (1,0)

Step-by-step explanation:

y = -2x + 2

y = 4x -4

Substitute the y's

4x - 4 = -2x + 2

Let's move the variables to one side

4x - 4 = -2x + 2

+2x       +2x

6x - 4 = 2

Lets move the constant to the other side

6x - 4 = 2

     +4   +4

6x = 6

Divide both sides by 6

6x/6 = 6/6

x = 1

Let go back to y = -2x + 2

Substitute the x with 1

y = -2(1) + 2

y = -2 + 2

y = 0

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w