Answer:
No solution
Explanation:
We want to solve the system of equations:
![2y = 4x + 12](https://img.qammunity.org/2022/formulas/mathematics/high-school/tcrjwgoe8twbk91qzbl9bmtyfuaheabj6a.png)
![y = 2x + 4](https://img.qammunity.org/2022/formulas/mathematics/high-school/m9odkexhbvb1kuv8zzv6v95utudna58nek.png)
To do this, substitute the value of y in the second equation into the first equation:
➡️ 2(-2x + 4) = -4 + 12
-4x + 8 = -4x + 12
Collect like terms:
![- 4x + 4x = 12 - 8](https://img.qammunity.org/2022/formulas/mathematics/high-school/la81gsqvgn5cle0yejhtj86h857h04s5jb.png)
![0 = 4](https://img.qammunity.org/2022/formulas/mathematics/high-school/7oizq44dwue3xhr9k2hz2dk82y1d77ai2f.png)
As we can see, we have that 0 is equal to 4.
This shows that the system of equations has no solution.