Mathematics, 21.08.2020 23:01 christiannpettyy

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

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Answer from: jrfranckowiak

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 from: maderaada

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.

Answer from: Quest

your question is incomplete, write all the numbers in the sequence that it tells you.

step-by-step explanation:

Answer from: Quest

answer: y=2x-3

step-by-step explanation:

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