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ID: 1 Algebra 1B Name___________________________________ Unit 6 Worksheet 4 - Solving Systems by Substitution - ptDate________________ 2 Period____ ©9 B2j0Q1k1s gKFuBtKaW OSaoEfLtPwyayr0em iLVLmCp.w c 9AglOl9 lrPivggh6tVs0 DrCeIste8rTvXe1dH.w Solve each system by substitution. 1) −4 x + y = 2 5 x − y = −2 2) x + 5 y = 1 − x − 4 y = −1 3) 2 x + 3 y = 5 x+ y=0 4) x + 2 y = 1 5 x − 3 y = 18 5) 3 x + 5 y = −17 −3 x + y = 11 6) 5 x − 6 y = −9 3 x + y = 13 ©y i2F0S1g1j 1KHuEtcaG BSporfptdw2aZr5e1 nLDLzCP.k b pAFlulC 6rmiUgGhUtds4 Srge9sVe1rKvneSdg.M 8 vM4atdMeV JwfiltlhW 7IwnFfYitn7istNeu 4AFlNgvedbxrkaR t11.v -1- Worksheet by Kuta Software LLC Solve each system by graphing. 7) y = 8 x + 4 y=x−3 −5 −4 −3 −2 8) y = −5 x − 4 y=x+2 5 5 4 4 3 3 2 2 1 1 −1 0 −1 1 2 3 4 5 −4 −3 −2 −4 −3 −2 −1 0 −1 −2 −2 −3 −3 −4 −4 −5 −5 9) x = 4 x − 2 y = −4 −5 −5 1 2 3 4 5 1 2 3 4 5 10) x − 3 y = −9 8 x − 3 y = 12 5 5 4 4 3 3 2 2 1 1 −1 0 −1 1 2 3 4 5 −5 −4 −3 −2 −1 0 −1 −2 −2 −3 −3 −4 −4 −5 −5 ©E G2Q071P1C wKruptdav ISzohfptNwqaYrkeQ zLdLhCP.y l IAjljl6 7r9iLghhKtDsn BrueHsZeCrCvqePdS.8 o oMka8ddeO Bw9ictThP IIwnZfaibnqi4tte9 BAPlmgfeZbkrXa5 K1K.3 -2- Worksheet by Kuta Software LLC 11) Sally has 6 jars each containing 13 marbles. She gives 8 marbles to her brother. Write an expression that models the situation. 12) A bookcase has four shelves containing 20 books each. The librarian removes 15 books. Write an expression that represents the number of books remaining. 13) The temperature on a winter morning is -8 degrees Fahrenheit. If the temperature rises 12 degrees then falls 15 degrees in the evening, what is the temperature in the evening? Write a numeric expression, then simplify. ©2 92O0Z1y1I lKaultzak bSwoCfOtTw1a9rles ULULLCi.z C YAzl2lU crGi8g7hdtvs2 zr4eisheNrWvQevdY.M Q 5M5akd8eA 9wqiMt1hZ wISnafsiln2iitQez 4AElNgCeNbIrfaL O1H.c -3- Worksheet by Kuta Software LLC