Question

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

Answer 1

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).

$\frac{2x}{2} = \frac{2}{2}$

$x = 1$

The answer to the second equation is x = 1.

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

Answer 2

Hello There!

ANSWER:

Yes

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.

$\frac{2x}{2}=\frac{2}{2}$

The fraction $\frac{2}{2}$ 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.