How many solutions are there to the following equation?

5(x – 3) – 3x = 8x – 15 – 6x

A.) no solution
B.) exactly one solution
C.) exactly two solutions
D.) infinitely many solutions

D, infinitely many solutions

Step-by-step explanation:

1. multiply out

5(x-3) = 5x-15

2. combine like terms

5x-15-3x=8x-15-6x = 2x-15=2x-15

they are equal so there are infinite solutions.

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.

cut 138 centimeters off

step-by-step explanation:

250-112 = 138