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Intermediate Algebra Skill Solving A System of One Linear Equation and One Quadratic Equation Solve the following Non-linear Systems of Equations: 1) x2 + y 2 = 100 y − x = 2 2) 9 x 2 + 4 y 2 = 36 3x + 2 y = 6 3) y = x 2 3x = y + 2 4) y 2 − x 2 = 16 2 x − y = 1 5) m2 + 3n2 = 10 m − n = 2 6) 4 x 2 + 9 y 2 = 36 x + 3 y = 3 7) y = x 2 + 1 y = 3x −1 8) y = 2 x + 4 2 y = x + x − 2 9) x = y − 5 2 x = y − 2 y − 3 10) x = y 2 + 2 y + 1 x = −5 − 3 y 11) y = x 2 − 7 x + 2 2 x + y = 2 12) y = x 2 + 5 x + 3 y − 2 x = 21 13) x = 2 y 2 + 5 y − 3 x − 3 y = 1 14) x = −2 y 2 + 5 y +10 2 y − x = −1 Answsers to Solving A System of One Linear Equation and One Quadratic Equation 1) ( −8, −6 ) , ( 6,8) 2) ( 2,0 ) , ( 0,3) 3) ( 2,4 ) , (1,1) 5 13 4) − , − , (3,5) 3 3 5) 3+ 2 7 −1 + 7 3 − 7 −1 − 7 , , , 2 2 2 9 8 6) (3,0 ) , − , 5 5 7) (1,2 ) , ( 2,5) 8) ( 3,10 ) , ( −2,0 ) 9) ( −3,2 ) , ( −4,1) 10) (1, −2) , ( 4,3) 11) ( 0,2 ) , ( 5, −8) 12) ( −6,9 ) , ( 3,27 ) 13) ( −5, −2 ) , ( 4,1) 14) −2, − 3 , 7,3 2 ( )