Is x = –4 a valid solution this linear equation?
2x + 9(x – 1) = 8(2x + 2) – 5

Yes it is!

Step-by-step explanation:

All you have to do is plug in -4 in place of all the x’s. You should get

-8x - 36 - 9 = -64x + 16 - 5

Simplified: -8x - 45 = -64x + 11

+45. + 45

-8x = -64x + 56

+64 +64

56 = 56

Answer = True

So yes -4 is a correct solution!

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

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.