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

User Xolve
by
7.6k points

2 Answers

6 votes

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.

User Paks
by
8.6k points
1 vote

Answer:

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.

User Gongarek
by
7.8k points

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