Question

Which of the following describes the correct process for solving the equation 2x + 6 = 22 and arrives at the correct solution?

A Divide both sides by 6 and then add 2. The solution is x = 8.

B Subtract 6 from both sides and then divide by 2. The solution is x = 8.

C Add 6 to both sides of the equation and then divide by 2. The solution is x = 6.

D Subtract 6 from both sides of the equation and then divide by 22. The solution is x = 16.

Answer 1

Answer:

Step-by-step explanation:

I n my point of view 2nd option Subtract 6 from both sides and then divide by 2. The solution is x = 8 will give you a right equation

Answer 2

Answer:

Options A and B are correct as we are getting the solution x=8

Options C and D are incorrect as we not getting the solution as x=6 and x=16 respectively.

Step-by-step explanation:

A)Given equation is 2x+6=22

Now we have to divide by 6 both the sides we get $\frac{2x+6}{6}=\frac{22}{6}$

Now we have to add 2 both the sides $\frac{2x+6}{6}+2=\frac{22}{6}+2$

On solving the equation we get

2x+6=22

2x=16

x=8

Hence option A is correct

B)Given equation is 2x+6=22

Now we have to subtract 6 from both the sides we get

2x+6-6=22-6

2x=16

x=8

Now we have to divide by 2

$\frac{x}{2}=\frac{8}{2}$

we get x=8

Hence Option B is correct

C)Given equation is 2x+6=22

Now we have to add 6 both the sides of equation we get

2x+6+6=22+6

2x+12=28

2x= 16

x=8

Now we have to divide the equation by 2

$\frac{x}{2}=\frac{8}{2}$

we get x=8 only

Hence option C is incorrect

D)Given equation is 2x+6=22

Now we have to subtract 6 from  both the sides we get

2x+6-6=22-6

2x=16

x=8

Now divide the equation by 22 we get

$\frac{x}{2}=\frac{8}{22}$

x=8

Hence option D is incorrect