Math  /  Algebra

Question4. Solve for the unknown value. 7x5.06=4.927 x-5.06=-4.92

Studdy Solution

STEP 1

What is this asking? We need to find the value of xx that makes the equation 7x5.06=4.927x - 5.06 = -4.92 true. Watch out! Don't forget to keep track of those negative signs!
They can be sneaky.

STEP 2

1. Isolate the term with xx.
2. Solve for xx.

STEP 3

We want to get 7x7x by itself.
The equation says 7x7x *minus* **5.06** equals **-4.92**.
To get 7x7x alone, we need to get rid of that **-5.06**.
How do we do that?
We can add **5.06** to both sides of the equation!
Remember, what we do to one side, we *must* do to the other to keep things balanced.
7x5.06+5.06=4.92+5.067x - 5.06 + 5.06 = -4.92 + 5.06

STEP 4

On the left side, 5.06+5.06-5.06 + 5.06 adds to zero, leaving just 7x7x.
Awesome! On the right side, 4.92+5.06-4.92 + 5.06 equals **0.14**.
So, our equation now looks like this:
7x=0.147x = 0.14

STEP 5

Now, we have 77 *times* xx equals **0.14**.
To get xx all by itself, we need to divide both sides of the equation by **7**.
Dividing 7x7x by 77 will give us 11 times xx, which is just xx!
7x7=0.147\frac{7x}{7} = \frac{0.14}{7}

STEP 6

On the left side, we have 77 divided by 77, which equals **1**.
Multiplying xx by **1** gives us xx.
On the right side, **0.14** divided by **7** is **0.02**.
So, we have:
x=0.02x = 0.02

STEP 7

We found that x=0.02x = 0.02!

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