Solve for x: 2 over 3 (x − 4) = 2x. (1 point) A I CANT GET THIS

A.) 2
B.) -2
C.) -8
D.) -4

-2

Step-by-step explanation:

2/3 (x-4)=2x

or, 2x-8/3 =2x (multiply(x-4) by 2/3)

or, 2x-8 =3×2x

or, 2x-8 =6x

or, 2x-6x = 8

or, -4x = 8

or, x= 8/(-4)

or, x= -2

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

i suppose it should be (y=2x-5)

step-by-step explanation: