Question

5a -3a =6a-10 w an explanation please

Answer 1

a =
`(5)/(2)`

Explanation:

Alright so i´ll explain

you are going to combine 5a and -3a to get 2a

2a= 6a -10

then you are going to subtract 6a from both sides

2a-6a= -10

then combine 2a and -6a to get -4a

-4a= -10

then divide both sides by -4

a=
`(-10)/(-4)`

and last reduce the fraction to the lowest term, extract and cancel out -2

and the final answer is a =
`(5)/(2)`

Let me know if you have any doubt, important to be aware of the positive and negative signs

Answer 2

`(5)/(2)`

Explanation:

5a - 3a = 6a -10 On the left side of the equation, we will combine the like terms. 5a and -3a are like terms. If I was on a number line and I started at 5 and went 3 spaces towards the negative numbers, where would I be? 2

2a = 6a - 10 I want to get the variable a on only one side of the equation. I am trying to isolate the variable. Right now, we have a's on the both the right and left side of the equation. Let's subtract 6a from both sides of the equation

-4a = -10 The last step is to divide both sides by -4

a =
`(10)/(4)`

`(10)/(4)`÷
`(2)/(2)` =
`(5)/(2)` or 2.5 or 2
`(1)/(2)`