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\(\text{(x+2)(y-3)=5 }\)
\(\Rightarrow\)x+2;y-3\(\in\)Ư(5)
Mà Ư(5)={1;5;-1;-5}
Có bảng:
Th1:
x+2=1;y-3=6
=>x=-3
y=9
Tương tự 3 trường hợp còn lại
-2.(x-6)+6.(x-10)=8.(-7)
-2x-(-2).6+6x-6.10=-56
-2x+2.6+6x+(-6).10=-56
-2x+6x+12+(-60) =-56
x.(-2+6)+12+(-60) =-56
4x+12+(-60) =-56
4x+12 =-56-(-60)
4x+12 =4
4x =4-12
4x =-8
x =-8:4
x =-2
a -7.(5-x) -2.(x-10)=15
= -35+7x-2x+20=15=5x=30
5x=30
x=6
b 10.(x-7)-8.(x+5)=6.(-5)+24
=10x-70-8x-40= -30+24
=10x-8x = -30+24+70+40
2x = 104
x = 104:2
x = 52
\(a)-7\left(5-x\right)-2\left(x-10\right)=15\)
\(\Rightarrow-35+7x-2x+20=15\)
\(\Rightarrow-35+20+7x-2x=15\)
\(\Rightarrow-15+5x=15\)
\(\Rightarrow5x=30\Rightarrow x=6\)
\(b)10\left(x-7\right)-8\left(x+5\right)=6\left(-5\right)+24\)
\(\Rightarrow10x-70-8x-40=-30+24\)
\(\Rightarrow10x-8x-70-40=-6\)
\(\Rightarrow2x-110=-6\)
\(\Rightarrow2x=104\Rightarrow x=52\)
Vậy\(a)x=6b)x=52\)
10(x-7)-8(x+5)=6(-5)+24
(10.x - 10.7) - (8.x + 8.5) = -30 + 24
10.x - 70 - 8.x + 40 = -6
(10.x-8.x) - (70 - 40) = -6
2.x - 30 = -6
2.x = -6 + 30
2.x = 24
x = 24 : 2
x = 12
vậy_____
10( x- 7)- 8( x+ 5)= 6(- 5)+ 24.
( 10x- 70)-( 8x+ 40)=- 30+ 24.
10x- 70- 8x- 40=- 6.
( 10x- 8x)-( 70+ 40)=- 6.
2x- 110=- 6.
2x=- 6+ 110.
2x= 104.
x= 104: 2.
x= 52.
Vậy x= 52.
\(a,x+21=6\\ \Rightarrow x=-15\\ b,x-10=-8\\ \Rightarrow x=2\\ c,\left(-8\right)x=\left(-7\right)\left(-6\right)\\ \Rightarrow\left(-8\right)x=42\\ \Rightarrow x=-4\\ d,20+8\left(x+3\right)=5^2.4\\ \Rightarrow20+8\left(x+3\right)=25.4\\ \Rightarrow20+8\left(x+3\right)=100\\ \Rightarrow8\left(x+3\right)=80\\ \Rightarrow x+3=10\\ \Rightarrow x=7\)
\(a.x+21=6\\ x=6-21\\ x=-15\\ b.x-10=-8\\ x=-8+10\\ x=2\\ c.-8x=-7.\left(-6\right)-2\\ -8x=42-2\\ -8x=40\\ x=40:\left(-8\right)\\ x=-5\)
\(d.20+8\left(x+3\right)=5^2.4\\ 20+8x+24=25.4\\ 44+8x=100\\ 8x=100-44\\ 8x=56\\ x=56:8\\ x=7\)