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Chapter 7: Problem 6

Verify that the given value is a solution of the given equation. $$ 7 x+7=7, x=0 $$

Short Answer

Expert verified
Answer: Yes, x=0 is a valid solution to the equation 7x+7=7.

Step by step solution

01

Substitute the given value of x into the equation

We will replace x with its given value (0) in the equation 7x+7=7, like so: $$ 7(0)+7=7 $$
02

Simplify the equation

Consult your order of operations to compute the result. First, multiply 7 times 0 and then add 7, which simplifies to: $$ 0+7=7 $$
03

Determine if the equation holds true

Examine the simplified equation: 0+7=7. We can see that the left side (0+7) equals 7 and that the right side also equals 7. Therefore, we can conclude that: $$ 7=7 $$
04

Confirm that the given value of x is a valid solution

Since the equation holds true after substituting the given value of x (x=0), it confirms that x=0 is indeed a solution to the given equation 7x+7=7.

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