CAPITULO VIII
Ecuaciones enteras de primer grado
Ecuaciones enteras de primer grado
- Ejercicio 79
Resolver las siguientes ecuaciones:
- x–( 2x+1 ) =8–( 3x+3 ) x–2x–1 =8–3x–3 –x–1 =–3x+5 –x+3x =5+1 2x =6 x = 2 x =3
- 15x–10 =6x–( x+2 ) +( –x+3 ) 15x–10 =6x–x–2–x+3 15x–10 =4x+1 15x–4x =10+1 11x =11 x = 11 11 x =1
- ( 5–3x ) –( –4x+6 ) =( 8x+11 ) –( 3x–6 ) 5–3x+4x–6 =8x+11–3x+6 x–1 =5x+17 x–5x =17+1 –4x =18 x =– x =– 9 2
- 30x–( –x+6 ) +( –5x+4 ) =–( 5x+6 ) +( –8+3x ) 30x+x–6–5x+4 =–5x–6–8+3x 26x–2 =–2x–14 26x+2x =2–14 28x =–12 x =– x =– 3 7
- 15x+( –6x+5 ) –2–( –x+3 ) =–( 7x+23 ) –x+( 3–2x ) 15x–6x+ 5 – 2 +x– 3 =–7x–23–x+3–2x 10x =–10x–20 10x+10x =–20 20x =–20 x =– 20 20 x =–1
- 3x+[ –5x–( x+3 ) ] =8x+( –5x–9 ) 3x+[ –5x–x–3 ] =8x–5x–9 3x–5x–x–3 =3x–9 –3x =3x–9+3 –3x–3x =–6 –6x =–6 x = – 6 – 6 x =1
- 16x–[ 3x–( 6–9x ) ] =30x+[ –( 3x+2 ) –( x+3 ) ] 16x–[ 3x–6+9x ] =30x+[ –3x–2–x–3 ] 16x–12x+6 =30x–4x–5 4x+6 =26x–5 4x–26x =–6–5 –22x =–11 x = – 11 – x = 1 2
- x–[ 5+3x–{ 5x–( 6+x ) } ] =–3 x–[ 5+3x–{ 5x–6–x } ] =–3 x–[ 5+3x–4x+6 ] =–3 x–( 11–x ) =–3 x–11+x =–3 2x =11–3 2x =8 x = 2 x =4
- 9x–( 5x+1 ) –{ 2+8x–( 7x–5 ) } +9x =0 18x–5x–1–{ 2+8x–7x+5 } =0 13x–1–( x+7 ) =0 13x–1–x–7 =0 12x–8 =0 12x =8 x = x = 2 3
- 71+[ –5x+( –2x+3 ) ] =25–[ –( 3x+4 ) –( 4x+3 ) ] 71+[ –5x–2x+3 ] =25–[ –3x–4–4x–3 ] 71–7x+3 =25–( –7x–7 ) 74–7x =25+7x+7 –7x–7x =32–74 –14x =–42 x = – – 14 x =3
- –{ 3x+8–[ –15+6x–( –3x+2 ) –( 5x+4 ) ] –29 } =–5 –{ 3x+8–[ –15+6x+3x–2–5x–4 ] –29 } =–5 –{ 3x+8–[ 4x–21 ] –29 } =–5 –{ 3x+ 8 –4x+ 21 – 29 } =–5 –{ –x } =–5 x =–5