Question

Hayley begins solving this problem by combining like terms. 3x + 5x = 10 Which problem begins the same way? A) 5x = 20 Eliminate B) 2(x + 5) = 20 C) x 4 = 30 D) 4x ? 2x = 10

Answer 1

D.
`4x-2x=10`

Explanation:

We have been give an equation
`3x+5x=10`. The equation is solved by combining like terms. We are asked to choose the equation that an be solved by combining the like terms.

Let us check our given choices one by one.

A.
`5x=20`

We can see that equation A will be solved by dividing 20 by 5, therefore, option A is not correct choice.

B.
`2(x+5)=20`

We can see that equation B will be solved by dividing 20 by 5 and then subtracting 5, therefore, option B is not correct choice.

C.
`(x)/(4)=20`

We can see that equation C will be solved by multiplying 20 by 4, therefore, option C is not correct choice.

D.
`4x-2x=10`

We can see that equation D will be solved by combining like terms, therefore, option D is correct choice.

Answer 2

In a linear equation of one variable there are two terms terms containing variable and constant.

Variable means term containing x,y,z which act as variables. and constant means any rational number . In higher classes you can include real number also.

The given equation is 3x + 5x = 10

So, the solution out of four options is A) 5x = 20.

Here variable is on one side of equation and constant on other side.

But Option (D) looks absolutely correct if we replace ? by either + sign or Negative (-) sign.