Is $$ r=7 $$ a solution to this equation? $$ 8 r=2 $$

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UpStudy AI · Accepted Answer

No, $$ r = 7 $$ is **not** a solution to the equation $$ 8r = 2 $$.

### Here's why:

To determine if $$ r = 7 $$ satisfies the equation, substitute $$ 7 $$ for $$ r $$:

$$
8r = 2 \
8(7) = 2 \
56 = 2
$$

This statement is **false** because $$ 56 $$ does not equal $$ 2 $$.

### Finding the Correct Solution:

To find the value of $$ r $$ that satisfies the equation $$ 8r = 2 $$, solve for $$ r $$:

$$
8r = 2 \
r = \frac{2}{8} \
r = \frac{1}{4}
$$

So, the correct solution is:

$$
r = \frac{1}{4}
$$

### Summary:

- **Given:** $$ r = 7 $$
- **Equation:** $$ 8r = 2 $$
- **Result of Substitution:** $$ 56 \neq 2 $$
- **Conclusion:** $$ r = 7 $$ does not satisfy the equation.
- **Correct Solution:** $$ r = \frac{1}{4} $$
$$ r = 7 $$ is not a solution to the equation $$ 8r = 2 $$. The correct solution is $$ r = \frac{1}{4} $$.

Is \( r=7 \) a solution to this equation? \( 8 r=2 \)

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