Given:
System of linear equations.
Step-by-step explanation:
System 1:
![\begin{gathered} y\text{ = 3x + 15 } \\ y\text{ = 2x + 11} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/7tk6437q7z4egl2ke0241652s3jd3g2au7.png)
The above system of equations can be simplified ELIMINATION BY SUBTRACTION.
System 2:
![\begin{gathered} 7x\text{ - 2y = 0} \\ y\text{ = 6x + 5} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/fl9re7xbv0kv2j1ajt4q49jh3nkipfm6s5.png)
The above system of equations can be simplified using the SUBSTITUTION METHOD.
System 3:
![\begin{gathered} -3x\text{ - 5y = -5} \\ -3x\text{ + 5y = 5} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/qjvzn7souess6eey5v64xhn47ed8ldlvbz.png)
The above system of the equation can be simplified using ELIMINATION BY SUBTRACTION.
System 4:
![\begin{gathered} -5x\text{ - 4y = -6} \\ -7x\text{ - 4y = -2} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ateab83q3u9cuei4pz7otrbdah6511l182.png)
The above system of the equation can be simplified using ELIMINATION BY SUBTRACTION.
System 5:
![\begin{gathered} 5x\text{ + 2y = 0} \\ 15x\text{ + 7y = 0} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/3hmyqe8g4eg3sa3vdouawl9h10eqey9ter.png)
The above system of the equation can be simplified using ELIMINATION BY MULTIPLICATION.