Problem 4 For which of the followingequtions is $$ (-\&-1) $$ a solution? (Select al that apply) $$ y=4 x+23 $$ $$ 3 x=\frac{1}{2} y $$ $$ 2 x-13 y=1 $$ $$ y=\frac{1}{2} x $$ $$ 2 x+6 y=-6 $$

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UpStudy AI · Accepted Answer

To determine which equations have $$ (-1, -1) $$ as a solution, we will substitute $$ x = -1 $$ and $$ y = -1 $$ into each equation and check if the equations hold true.

1. **Equation 1: $$ y = 4x + 23 $$**
   - Substitute $$ x = -1 $$ and $$ y = -1 $$:
   $$
   -1 = 4(-1) + 23
   $$
   $$
   -1 = -4 + 23
   $$
   $$
   -1 = 19 \quad \text{(False)}
   $$

2. **Equation 2: $$ 3x = \frac{1}{2}y $$**
   - Substitute $$ x = -1 $$ and $$ y = -1 $$:
   $$
   3(-1) = \frac{1}{2}(-1)
   $$
   $$
   -3 = -\frac{1}{2} \quad \text{(False)}
   $$

3. **Equation 3: $$ 2x - 13y = 1 $$**
   - Substitute $$ x = -1 $$ and $$ y = -1 $$:
   $$
   2(-1) - 13(-1) = 1
   $$
   $$
   -2 + 13 = 1
   $$
   $$
   11 = 1 \quad \text{(False)}
   $$

4. **Equation 4: $$ y = \frac{1}{2}x $$**
   - Substitute $$ x = -1 $$ and $$ y = -1 $$:
   $$
   -1 = \frac{1}{2}(-1)
   $$
   $$
   -1 = -\frac{1}{2} \quad \text{(False)}
   $$

5. **Equation 5: $$ 2x + 6y = -6 $$**
   - Substitute $$ x = -1 $$ and $$ y = -1 $$:
   $$
   2(-1) + 6(-1) = -6
   $$
   $$
   -2 - 6 = -6
   $$
   $$
   -8 = -6 \quad \text{(False)}
   $$

After checking all equations, we find that none of the equations hold true when substituting $$ (-1, -1) $$. Therefore, $$ (-1, -1) $$ is not a solution for any of the given equations.

**Final Answer: None of the equations have $$ (-1, -1) $$ as a solution.**
None of the equations have $$ (-1, -1) $$ as a solution.

Problem 4 For which of the followingequtions is \( (-\&-1) \) a solution? (Select al that apply) \( y=4 x+23 \) \( 3 x=\frac{1}{2} y \) \( 2 x-13 y=1 \) \( y=\frac{1}{2} x \) \( 2 x+6 y=-6 \)

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