Systems of Equations and Inequalities – Assignment # 1 – United States Institute of Language and Clerical Studies

Practice Problems: Solve the following systems of equations and inequalities using different methods. Provide step-by-step solutions.

1. Solve the system 2x+y=52x + y = 52x+y=5 and x−y=1x – y = 1x−y=1 using substitution.
2. Graph the system of inequalities y≤x+2y \leq x + 2y≤x+2 and y>−2x+1y > -2x + 1y>−2x+1.
3. Solve the system 3x+4y=73x + 4y = 73x+4y=7 and 6x+8y=146x + 8y = 146x+8y=14 using elimination.

Complete all three above, save them into one .pdf, and upload them when complete.