Given:
[tex]\begin{gathered} y=2x+1 \\ y=-4x+7 \end{gathered}[/tex]
Required:
To solve the system of equation.
Explanation:
Consider
[tex]\begin{gathered} y=2x+1 \\ y=-4x+7 \end{gathered}[/tex]
From the two equations
[tex]\begin{gathered} 2x+1=-4x+7 \\ \\ 2x+4x=7-1 \\ \\ 6x=6 \\ \\ x=\frac{6}{6} \\ \\ x=1 \end{gathered}[/tex]
Now
[tex]\begin{gathered} y=2(1)+1 \\ \\ y=2+1 \\ \\ y=3 \end{gathered}[/tex]
So (1,3) is thw solution.
Final Answer:
The solution is (1,3).
