How many solutions does the equation 2+6(x-4)=3x-18+3x have?

There are no solutions to the equation

Step-by-step explanation:

2 + 6(x- 4) = 3x - 18 + 3x

open the bracket on the left handside by multiplying 6 by the numbers ins the bracket

2 + 6x - 24 = 3x - 18 + 3x

6x - 22 = 6x - 18

collect the like term

6x - 6x = -18 + 22

Therefore there is no solution to this equation.

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get