Question

Are x+4=5 and 2x+8=10 equivalent equations?

Answer 1

Hello There!

ANSWER:

Yes

Step-by-step explanation:

If you want to know if your two equations are equivalent, let's try finding the answer to both of them.

`x+4=5`

Let's find x.

We all know addition and subtraction. So let's just do

`5-4=x`

So 5-4 is equal to 1.

So the answer for this equation is

`x=1`

Let's move on to your second equation.

`2x+8=10`

Now we must subtract 8 from both sides.

`2x+8-8=10-8`

And this equals

`2x=2`

Let's divide the both sides by 2.

`(2x)/(2)=(2)/(2)`

The fraction
`(2)/(2)` is gonna equal one.

So
`x=1`

Now you have your answer for the second equation. Both answers were the same.

So the answer to your question is YES.

Answer 2

Yes

Step-by-step explanation:

You can find the answer to this question by finding the value of x in both equations.

Let's start off with the first equation:
`x+4=5`

To find the value of x, you're going to have to subtract 4 from both sides. This is because you're looking for the value of only x, not x + 4. To leave x alone, you'd have to subtract 4, leaving that side with just x.

`x+4-4=5-4`

`x=1`

The answer to the first equation is x = 1.

Now let's start on the second equation:
`2x+8=10`

Like before, you're looking for x alone and in this equation, 8 is being added to 2x. Although x itself isn't alone, you'll first start off with 2x since you can simplify it thrughout the process. In this equation, you're going to subtract 8 from both sides to leave the variable x alone.

`2x+8-8=10-8`

`2x=2`

Now you're left with 2x = 2. Since you're looking for the value of x alone, you're going to divide both sides by 2. Because x is being multiplied by 2(2 times x = 2x) you're going to divide(opposite of multiply), which will cancel out the 2(in 2x).

`(2x)/(2) = (2)/(2)`

`x = 1`

The answer to the second equation is x = 1.

Since both equations have the same solution, the answer to your question would be yes.