Determine whether 3 is a solution of the equation $$ 7 x+7=30 $$

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UpStudy AI · Accepted Answer

No, $$ 3 $$ is **not** a solution to the equation $$ 7x + 7 = 30 $$.

**Here's why:**

1. **Substitute $$ x = 3 $$ into the equation:**
   $$
   7(3) + 7 = 21 + 7 = 28
   $$
   
2. **Compare the result with the right side of the equation:**
   $$
   28 \neq 30
   $$
   
Since substituting $$ x = 3 $$ gives $$ 28 $$ instead of $$ 30 $$, $$ 3 $$ does not satisfy the equation.

**For reference, to find the actual solution:**

1. **Start with the equation:**
   $$
   7x + 7 = 30
   $$
   
2. **Subtract $$ 7 $$ from both sides:**
   $$
   7x = 23
   $$
   
3. **Divide both sides by $$ 7 $$:**
   $$
   x = \frac{23}{7} \approx 3.2857
   $$
   
So, the correct solution is $$ x = \frac{23}{7} $$, which is approximately $$ 3.2857 $$.
$$ 3 $$ is not a solution to the equation $$ 7x + 7 = 30 $$.

Determine whether 3 is a solution of the equation

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