I dont need answers just an explaination how to solve these will give brailiest

Step-by-step explanation:

first you have to take all similar variable on the same side of the equation and the constants on the other side then solve the question .

example : -12x + 9 = -15x

-12x +15x = -9

3 x = -3

X = -3/3= -1

x = -1

like this you can solve all the other equation ..

Hope this will be helpful to you ..

plz mark my answer as brainlist if you find it useful..

a)-3

b)2

c)27

you subtract 9 from both sides

-12x+9-9=-15-9

simplify=-12x=-15x-9

add 15x to both sides=-12x+15x=-15x-9+15x

Simplify=3x=-9

divide both sides by 3

3x/3=-9/3

x=-3

b)Step 1: Subtract 8.5x from both sides.

4.5x+11.5−8.5x=8.5x+3.5−8.5x

−4x+11.5=3.5

Step 2: Subtract 11.5 from both sides.

−4x+11.5−11.5=3.5−11.5

−4x=−8

Step 3: Divide both sides by -4.

−4x/−4=−8/−4

x=2

x=2

Step 1: Subtract 1/3x from both sides.

2/3x−9=1/3x

2/3x-9-1/3x=1/3x-1/3x

1/3-9=0

Step 2: Add 9 to both sides.

1/3x-9+9=0+9

1/3x=9

Step 3: Multiply both sides by 3.

3*(1/3x)=(3)*(9)

x=27

hope that was useful would appreciate a brainliest  if it helps you

a) $ 9.50

b) 17

c) y-intercept (0, 12). this is the initial amount of money that joe had prior to playing any game.

d) x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e) slope is -0.5. joe's balance will reduce by 0.5 for every game that he plays.

f)

domain; [0,24]

range; [0,12]

g) x + 2y = 24

step-by-step explanation:

a)

if joe plays 5 games, this will imply that x = 5. substitute x = 5 in the equation and solve for y;

y = -.50x + 12

y = -0.50(5) + 12

y = 9.50

b)

if joe leaves the arcade with $3.50, this will mean that y = 3.50. plug in y = 3.50 in the given equation and solve for x;

y = -.50x + 12

3.50 = -0.50x + 12

0.50x = 12 - 3.50

0.5x = 8.5

x = 17

c)

the function given is   y = -.50x + 12.

the y-intercept is the point where the graph of this function will intersect the y-axis. at this point, the value of x is usually 0. plug in x = 0 in the given equation and determine y;

y = -0.50(0) + 12

y = 12

the y-intercept is thus (0, 12). this is the initial amount of money that joe had prior to playing any game.

d)

the x-intercept refers to the point where the graph of a function intersects with the x-axis. at this point, the value of y is 0. substitute y = 0 in the given equation and solve for x;

0 =   -.50x + 12

0.5x = 12

x = 24

x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e)

the slope of the given equation is -0.5. the equation has been given in slope-intercept form. thus the slope is simply the coefficient of x.

joe's balance will reduce by 0.5 for every game that he plays. this is the interpretation of the slope.

f)

domain is the set of x values for which the function is real and defined. the domain will thus be; [0,24]. this will restrict the balance to only assume positive values.

on the other hand, the range is the set of y values for which a function is real and defined. the range in our case will be [0,12]. joe can have between $0 and $12 balance.

g)

the standard form of the equation of a straight line is;

ax + by = c

where a, b, and c are integers.

our equation is given as;

y = -.50x + 12

re-writing the equation we have;

0.5x + y = 12

divide all through by 0.5;

x + 2y = 24