Sistemi di equazioni di I grado fratte
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Sistemi di equazioni di I grado fratte Algebra 1 2 3 4 5 9 2 β§ + =4 π₯π₯ π¦π¦ β¨6 = 2 + 3 β©π¦π¦ π₯π₯ 4 5 + =2 π₯π₯ π¦π¦ β¨10 − 4 = 1 β© π¦π¦ π₯π₯ β§ 13 3 + =0 4π₯π₯ π¦π¦ β¨ 3 +9= 1+ 5 β©2π¦π¦ 2 2π₯π₯ 3 π₯π₯ = − ; π¦π¦ = −3 2 8 2 = π₯π₯ π¦π¦ π¦π¦ + 4 β¨ β©1 − π₯π₯ − 2 = 0 7 1 ; π¦π¦ = 1 4 ππππππππππππππππππππππππππ 1 1 3 β§ + = π₯π₯ π¦π¦ π¦π¦ 3 β¨ β©π₯π₯ − 2 = π¦π¦ β§− v 3.0 π₯π₯ = π¦π¦ + 1 =2 π₯π₯ − 3 οΏ½ π¦π¦ + 1 π₯π₯ − 3 = 2 6 9 π₯π₯ = 4; π¦π¦ = 5 β§10 − β§ 8 π₯π₯ = 3; π¦π¦ = 2 π₯π₯ = 8; π¦π¦ = 2 π₯π₯ + 4 =2 π¦π¦ + 4 β¨ π¦π¦ + 5 β© π₯π₯ + 3 = −1 ππππππππππππππππππππππ 8π₯π₯ + 4π¦π¦ + 7 13 =− 4π₯π₯ − 9π¦π¦ + 1 2 7π¦π¦ − 2π₯π₯ + 6 3 β¨ = β© 3π¦π¦ + 4 − 5π₯π₯ 11 β§ π₯π₯ = −2; π¦π¦ = −1 8(2π¦π¦ − 3π₯π₯ + 7) = 7(π₯π₯ + 3π¦π¦ − 9) οΏ½ π₯π₯ − 1 1 9 − 3π₯π₯ = − 1 + π¦π¦ 2 π¦π¦ + 1 ππππππππππππππππππππππ © 2016 - www.matematika.it 1 di 3 Sistemi di equazioni di I grado fratte Algebra 10 11 12 13 14 15 16 17 18 v 3.0 π₯π₯ + 1 1 − 2π¦π¦ π¦π¦ − π₯π₯ − = 6 − 4π¦π¦ 2π¦π¦ − 3 12 − 8π¦π¦ 4 β¨ π¦π¦ = + π₯π₯ β© 3 β§ π₯π₯ = −1; π¦π¦ = 7 − π₯π₯ 2 + 3π¦π¦ π¦π¦ − 2 = 1 − π₯π₯π₯π₯ − π₯π₯ 2 π¦π¦ − π₯π₯ 2(4π₯π₯ + π¦π¦) β¨ 6 + 2π₯π₯ = β© 2π₯π₯ − 1 1 − 4π₯π₯ + 4π₯π₯ 2 β§ 1 3 2 π₯π₯ = − ; π¦π¦ = − 3 2(1 + π¦π¦) = 5 − π₯π₯ + 2π¦π¦ οΏ½1 + 2π₯π₯ + 3π¦π¦ 3π₯π₯ + 2π¦π¦ + 1 = 2π₯π₯ + 3π¦π¦ 3π₯π₯ + 2π¦π¦ π₯π₯ = 3; y=3 2(π₯π₯ + π¦π¦) = 3 οΏ½1 π¦π¦ + 1 2 π¦π¦ − 1 9 4+ 4 2−5 =0 π₯π₯ π₯π₯ 10 1 π₯π₯ = − ; π¦π¦ = 2 2 2 2 β§ 5π¦π¦ − 12π₯π₯ − 12(π₯π₯ − 2π¦π¦) = 5(6π₯π₯ + 4π¦π¦ − 16) − π¦π¦ − 42 βͺ 7 − π¦π¦ 7 + π¦π¦ π¦π¦ 2 − 49 β¨ π₯π₯ + 2 π¦π¦ − 1 (π¦π¦ − π₯π₯)(π₯π₯ + π¦π¦) − 3(π₯π₯ + π¦π¦) − 4 βͺ− π¦π¦ − 1 + π₯π₯ + 2 = π₯π₯π₯π₯ − π₯π₯ + 2π¦π¦ − 2 β© π₯π₯ − 3π¦π¦ 5 β§ = − 2π₯π₯ + π¦π¦ 4 β¨ π₯π₯ + 5 = 6 β© π¦π¦ − 1 9 π₯π₯ = 5; π¦π¦ = 4 π₯π₯ = 1; π¦π¦ = 2 π₯π₯ 2 26 + = 5 − π¦π¦ π¦π¦ 3 3 β¨π₯π₯ + π¦π¦ + 1 = 11 π¦π¦ + 1 12 β© 2 β§ π₯π₯ = 0; π¦π¦ = 12π₯π₯ − 7 5(π¦π¦ + 1) 35 + = π₯π₯ + 2 6 οΏ½ 2 1 1 8 π₯π₯ + π¦π¦ = 5 3 15 π₯π₯ + π¦π¦ 1 = − β§ 2 5 5π₯π₯ + 3π¦π¦ β¨ =0 β©2π₯π₯ + 7π¦π¦ 25 1 2 π₯π₯ = 1; π¦π¦ = 1 π₯π₯ = − π₯π₯ = © 2016 - www.matematika.it 17 18 ; π¦π¦ = 13 6 3 ; π¦π¦ = −1 5 2 di 3 Algebra 19 20 21 22 23 24 v 3.0 Sistemi di equazioni di I grado fratte π₯π₯ − 7 1 +7= π¦π¦ π₯π₯ β¨1 + 1 = π₯π₯ β©π₯π₯ π¦π¦ + 1 2 β§ π₯π₯ = −1; π¦π¦ = 1 π₯π₯ + π¦π¦ − 3 1 =− β§ π₯π₯ + π¦π¦ 2 β¨1 + 3 = 4 β© π₯π₯ π¦π¦ 1 3 ; π¦π¦ = 2 2 π₯π₯ = 1; π¦π¦ = 1 π₯π₯ = π₯π₯ − 1 π₯π₯ 1 + =− π¦π¦ + 1 π¦π¦ 3 β¨5π₯π₯ + 7π¦π¦ + π¦π¦ = −5 β© π₯π₯ − π¦π¦ β§ π₯π₯ = 0; π¦π¦ = 2 3π₯π₯ π₯π₯ + π¦π¦ 9 + =− οΏ½ π¦π¦ − 3 2π₯π₯ − π¦π¦ 10 −π₯π₯ + 2π¦π¦ + 7 = 0 π₯π₯ = 1; π¦π¦ = −3 91 784 π₯π₯ = ; π¦π¦ = − 237 237 π₯π₯ = π₯π₯ + π¦π¦ − 5 59 =− π₯π₯ − π¦π¦ 4 β¨ 3π₯π₯ − 5π¦π¦ = 0 β©6π₯π₯ + 10π¦π¦ − 1 β§ π₯π₯ = 5π₯π₯ − π¦π¦ 1 β§ = π₯π₯ − 11π₯π₯ + 7π¦π¦ 7 β¨ 3π₯π₯ − 5π¦π¦ = −1 β© 5 117 133 ; π¦π¦ = − 13 7 2 2 ; π¦π¦ = 3 5 π₯π₯ = 0; π¦π¦ = 1 523 15 ; π¦π¦ = π₯π₯ = − 532 532 © 2016 - www.matematika.it 3 di 3
