Question 3 (Multiple Choice Worth 1 points)
(05.02 LC)
Solve the system of equations using substitution.

Ask by Gonzalez Wagner. in the United States

Jan 24,2025

Question

Question 3 (Multiple Choice Worth 1 points) (05.02 LC) Solve the system of equations using substitution. $$ \begin{array}{l}y=-2 x+1 \ 4 x+2 y=-2\end{array} $$

UpStudy AI · Accepted Answer

Let's solve the system of equations using substitution:

1. **Given Equations:**
   $$
   \begin{cases}
   y = -2x + 1 \
   4x + 2y = -2
   \end{cases}
   $$

2. **Substitute $$ y $$ from the first equation into the second equation:**
   $$
   4x + 2(-2x + 1) = -2
   $$
   
3. **Simplify the equation:**
   $$
   4x - 4x + 2 = -2 \
   0x + 2 = -2 \
   2 = -2
   $$
   
4. **Conclusion:**
   The equation $$ 2 = -2 $$ is a contradiction, meaning there is no solution to the system.

**Answer:**  
There is no solution; the system of equations is inconsistent.
There is no solution to the system of equations.

Question 3 (Multiple Choice Worth 1 points)
(05.02 LC)
Solve the system of equations using substitution.

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