Question

Use properties to rewrite the given equation. Which equations have the same solution as x + + x = – x plus StartFraction 2 Over 3 EndFraction plus x equals StartFraction one-half EndFraction minus StartFraction 1 Over 5 EndFraction x.x? Select three options.


x + StartFraction 8 Over 5 EndFraction x plus StartFraction 2 Over 3 EndFraction equals StartFraction one-half EndFraction minus StartFraction 1 Over 5 EndFraction x. = – x plus StartFraction 2 Over 3 EndFraction plus x equals StartFraction one-half EndFraction minus StartFraction 1 Over 5 EndFraction x.x

18x + 20 + 30x = 15 – 6x

18x + 20 + x = 15 – 6x

24x + 30x = –5

12x + 30x = –5

Answer 1

Answer:

Options A, C and D are the correct options

Step-by-step explanation:

Given :

A. 18x + 20 + 30x = 15 – 6x

B. 18x + 20 + x = 15 – 6x

C. 24x + 30x = –5

D. 12x + 30x = –5

A. x + x/5 + 2/3 = ½ - x/5

Solving R.H.S by taking LCM we get  = ( 5- 2X)/10

Now multiplying this by 3/3 we get = (15 – 6X)/30

Now taking this 30 from the denominator to the LHS,

we get = 30x { X + 2/3+ X/5 }

= 30X + 20X + 6X

= 15 -  6x

which is option A

C. x + x/5 + 2/3 = ½ - x/5

taking X/5 from RHS to LHS and 2/3 from LHS to RHS we get

x + x/5 + x/5= ½-2/3

now solving RHS we get  ½-2/3 = -1/6 multiplying this by 5/5

= - 5/30 taking 30 to the LHS

= 30x{ X + X/5 + X/5}= -5

= 30X+12X= -5 – option C is  a solution

D : -x + 2/3 + x = ½ - x/5  

This can be written as  

-X + X/5+ X= ½- 2/3

-X + X/5+ X= (-1/6)x 5/5

-X + X/5+ X= -5/30

30x {-X + X/5+ X}= -5

-30X + 6X + 30X= -5

24x + 30x = –5 --- option D is a solution

Therefore options A, C and D are the correct options

Answer 2

Answer:

A TRUST ME IM GOOD

Step-by-step explanation: