Question

For each value of y, determine whether it is a solution to-10=6y-4. ? 00 Is it a solution? Yes No X 5 y 9 -3 -6 10

Answer 1

To determine if each value of \( y \) is a solution to the equation \(-10 = 6y - 4\), we need to substitute each value of \( y \) into the equation and see if it results in a true statement.

First, we'll rewrite the equation in a more manageable form:

\[
6y - 4 = -10
\]

Now, let's solve for \( y \) to find the value that satisfies the equation:

\[
6y - 4 + 4 = -10 + 4
\]
\[
6y = -6
\]
\[
y = \frac{-6}{6} = -1
\]

Now, let's check each given \( y \) value to see if it equals \(-1\):

1. \( y = 0 \):
\[
6(0) - 4 = -4 \quad \text{(not a solution)}
\]

2. \( y = 5 \):
\[
6(5) - 4 = 30 - 4 = 26 \quad \text{(not a solution)}
\]

3. \( y = 9 \):
\[
6(9) - 4 = 54 - 4 = 50 \quad \text{(not a solution)}
\]

4. \( y = -3 \):
\[
6(-3) - 4 = -18 - 4 = -22 \quad \text{(not a solution)}
\]

5. \( y = -6 \):
\[
6(-6) - 4 = -36 - 4 = -40 \quad \text{(not a solution)}
\]

6. \( y = 10 \):
\[
6(10) - 4 = 60 - 4 = 56 \quad \text{(not a solution)}
\]

After checking all the values, we can confirm that none of the given \( y \) values satisfy the equation \(-10 = 6y - 4\).

**Summary**: None of the provided \( y \) values (\( 0, 5, 9, -3, -6, 10 \)) are solutions to the equation.