Transcription of Systems of Two Equations
1 Kuta Software - Infinite Algebra 2 Name_____. Systems of Two Equations Date_____ Period____. Solve each system by graphing. 1) y = 3 x + 4 2) y = x + 2. y = 3x 2 x = 3. 5 5. 4 4. 3 3. 2 2. 1 1. 5 4 3 2 1 0 1 2 3 4 5 5 4 3 2 1 0 1 2 3 4 5. 1 1. 2 2. 3 3. 4 4. 5 5. 3) x y = 3 4) 4 x + y = 2. 7 x y = 3 x y=3. 5 5. 4 4. 3 3. 2 2. 1 1. 5 4 3 2 1 0 1 2 3 4 5 5 4 3 2 1 0 1 2 3 4 5. 1 1. 2 2. 3 3. 4 4. 5 5. Solve each system by substitution . 5) y = 4 x 9 6) 4 x + 2 y = 10. y=x 3 x y = 13. 7) y = 5 8) x + 7 y = 0. 5 x + 4 y = 20 2 x 8 y = 22. 3 R2z0F1v2f lKZuhtlaq oSLocfXtHwxaSrde0 r vALlXlp 2riivgihNtDsN A 7M5aadHeB gwXirtuhn VIInxfkirnIijtSeV eAgllg8eHbErda8 -1- Worksheet by Kuta Software LLC. 9) 6 x + 8 y = 22 10) 7 x + 2 y = 18. y = 5 6x + 6 y = 0. 11) 7 x + 2 y = 19 12) 3 x 5 y = 17. x + 2 y = 21 y = 7. 13) 7 x + 4 y = 24 14) 4 x y = 20. 4x 4 y = 0 2 x 2 y = 10. Solve each system by elimination. 15) 8 x 6 y = 20 16) 6 x 12 y = 24. 16 x + 7 y = 30 x 6 y = 4. 17) 8 x 10 y = 24 18) 24 8 x = 12 y 6x + 5 y = 2 5 7.
2 1+ y= x 9 18. 19) 4 y 11 x = 36 20) 9 + 5 y = 4 x 20 = 10 x 10 y 11 x = 20 + 9 y 21) 0 = 2 y + 10 6 x 22) 16 y = 22 + 6 x 14 22 y = 18 x 11 y 4 x = 15. 23) 16 + 20 x 8 y = 0 5 11. 24) x = y 36 = 18 y 22 x 7 7. 2 y = 7 + 5x Critical thinking questions: 25) Write a system of Equations with the solution (4, 3). m u2P0p1J2H mKZuAtoav 2 SuotfjtuwkaZrjeb Y CAPlSlt mrdirgyhRtWsK v 7 MXaxdjeC 9wli2tbhM SIXnTfYiYnZi0tme2 kAolVgleeb1r0a3 -2- Worksheet by Kuta Software LLC. Kuta Software - Infinite Algebra 2 Name_____. Systems of Two Equations Date_____ Period____. Solve each system by graphing. 1) y = 3 x + 4 2) y = x + 2. y = 3x 2 x = 3. 5 5. 4 4. 3 3. 2 2. 1 1. 5 4 3 2 1 0 1 2 3 4 5 5 4 3 2 1 0 1 2 3 4 5. 1 1. 2 2. 3 3. 4 4. 5 5. (1, 1) ( 3, 1). 3) x y = 3 4) 4 x + y = 2. 7 x y = 3 x y=3. 5 5. 4 4. 3 3. 2 2. 1 1. 5 4 3 2 1 0 1 2 3 4 5 5 4 3 2 1 0 1 2 3 4 5. 1 1. 2 2. 3 3. 4 4. 5 5. ( 1, 4) (1, 2). Solve each system by substitution . 5) y = 4 x 9 6) 4 x + 2 y = 10. y=x 3 x y = 13.
3 (2, 1) (6, 7). 7) y = 5 8) x + 7 y = 0. 5 x + 4 y = 20 2 x 8 y = 22. (0, 5) (7, 1). X I2e0s152Z XKZuOtGaI fSEoyfEtewLayrKev i lAWl2lV Xr4iogShBtjsh S TM4aPdWee KwmiptNhV UIGndf3ihnyiAt3ed HA1l9gTeNbPrSal -1- Worksheet by Kuta Software LLC. 9) 6 x + 8 y = 22 10) 7 x + 2 y = 18. y = 5 6x + 6 y = 0. (3, 5) ( 2, 2). 11) 7 x + 2 y = 19 12) 3 x 5 y = 17. x + 2 y = 21 y = 7. ( 5, 8) ( 6, 7). 13) 7 x + 4 y = 24 14) 4 x y = 20. 4x 4 y = 0 2 x 2 y = 10. ( 8, 8) (3, 8). Solve each system by elimination. 15) 8 x 6 y = 20 16) 6 x 12 y = 24. 16 x + 7 y = 30 x 6 y = 4. ( 1, 2) (2, 1). 17) 8 x 10 y = 24 18) 24 8 x = 12 y 6x + 5 y = 2 5 7. 1+ y= x (7, 8) 9 18. (6, 6). 19) 4 y 11 x = 36 20) 9 + 5 y = 4 x 20 = 10 x 10 y 11 x = 20 + 9 y ( 4, 2) (1, 1). 21) 0 = 2 y + 10 6 x 22) 16 y = 22 + 6 x 14 22 y = 18 x 11 y 4 x = 15. (2, 1) ( 1, 1). 23) 16 + 20 x 8 y = 0 5 11. 24) x = y 36 = 18 y 22 x 7 7. (0, 2) 2 y = 7 + 5x ( 3, 4). Critical thinking questions: 25) Write a system of Equations with the solution (4, 3).
4 Many answers. Ex: x + y = 1, 2 x + y = 5. Create your own worksheets like this one with Infinite Algebra 2. Free trial available at E h2p0Y132b CKZugtsau ZShoMfGtmwUaBrLe7 t 5 AalxlK 0rhiwgthft5sA N 7 Mnazdiez nw2iRtehi JIBnwfJiwnjiktgeL 1 Acl6gneYbTrtaJ -2- Worksheet by Kuta Software LLC.
