Moira solved a problem on the board. what error did moira make and how can she correct it? 12x + 10 = 54 – 10x 12x + 10 – 10 = 54 – 10x – 10 12x = 44 – 10x 12x – 10x = 44 – 10x + 10x 2x = 44 x = 22

Moira didn't add to both sides of the equation in the fourth step she applied (this is: ).

She can correct it applying the Addition property of equality and add to both sides of the equation then she must apply the Division property of equality  (See the procedure below).

Step-by-step explanation:

Given the equation:

The steps to solve it are:

1. According to the Subtraction property of equality, you we can subtract 10 from both sides of the equation:

2. Based on the Addition property of equality, you we can add to both sides of the equation:

3. Finally, applying the Division property of equality, we must divide both sidesby 22:

Therefore, she made an error in fourth step she applied:

Because she didn't add to both sides of the equation.

She can correct it applying the Addition property of equality and add to both sides of the equation and then she must apply the Division property of equality  (As you can observe in the procedure shown above).

Moira didn't add 10x to both sides of the equation in the fourth step she applied that is

Step-by-step explanation:

Given :

Solution :

Given that :

Now,

Moira didn't add 10x to both sides of the equation in the fourth step she applied that is

For more information, refer the link given below

link

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!