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Goryan [66]
3 years ago
13

A teacher asks five different students to write an equation with a solution of x = 4. The students and their equations are shown

below.
Student Adrian Bert Camille Daniel Etsuko Equation 2x + 6 = 2 2x-9 = -1 - 2x + 12 = 4 2(x + 2) = 10 2(x - 10) = -12

Which of the following students correctly wrote an equation with x = 4 as the solution? Select three that apply.

A. Bert
B. Daniel
C. Etsuko
D. Adrian
E. Camille​
Mathematics
1 answer:
tankabanditka [31]3 years ago
6 0

Answer:

I'm assuming the order corresponds the student to the equation. Because of this, the answer is simple:

Bert, Etsuko, and Camille.

Step-by-step explanation:

2x-9=-1, 2x=8, x=4

2(x-10)=-12, x-10=-6, x=4

-2x+12=4, -2x=-8, x=4

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Solve 4 + 4 ( x - 2 ) = 2 ( x + 1 ) - x<br> The question requires you to show your work
kati45 [8]

Answer:

x = 2

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 (4+(4•(x-2)))-(2•(x+1)-x)  = 0

Step  2  :

Equation at the end of step  2  :

 (4 +  4 • (x - 2)) -  (x + 2)  = 0

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  3x - 6  =   3 • (x - 2)

Equation at the end of step  4  :

 3 • (x - 2)  = 0

Step  5  :

Equations which are never true :

5.1      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

5.2      Solve  :    x-2 = 0

Add  2  to both sides of the equation :

                     x = 2

One solution was found :

                  x = 2

Processing ends successfully

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