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(2х+3-7)/7=(5х-6-2х)/2
(2х-4)/7=(3х-6)/2
2(2х-4)=7(3х-6)
4х-8=21х-42
21х-4х=42-8
17х=34
х=2
б)
(7х-1)/5=(12+3х-7)/2
(7х-1)/5=(5+3х)/2
2(7х-1)=5(5+3х)
14х-2=25+15х
14х-15х=25+2
-х=27
х=-27
в)
=7^15/7^16=1/7
г)
=5^18×5^3/5^21=1
ж)
=5×7^14×(3×7-19)/7^15×(7+3)=
=5×7^14×2/7^15×10=
=10×7^14/10×7^15=1/7
з)
=3×19×3^21×(4×3+7)/19^2×3^24=
=3^22×19×19/19^2×3^24=
=1/9
е)
=((65^2-52^2)+(39^2-26^2))/(49-36)^2=
=((65-52)(65+52)+(39-26)(39+26))/13^2=(13×117+13×65)/13^2=
=13(117+65)/13^2=182/13=14
д)
=(93-76)^2/((85^2-68^2)+(51^2-34^2))=
=17^2/((85-68)(85+68)+(51-34)(51+34))=
=17^2/(17×153+17×85)=
=17^2/17(153+85)=17/238=
=14
(2х-4)/7=(3х-6)/2
2(2х-4)=7(3х-6)
4х-8=21х-42
21х-4х=42-8
17х=34
х=2
б)
(7х-1)/5=(12+3х-7)/2
(7х-1)/5=(5+3х)/2
2(7х-1)=5(5+3х)
14х-2=25+15х
14х-15х=25+2
-х=27
х=-27
в)
=7^15/7^16=1/7
г)
=5^18×5^3/5^21=1
ж)
=5×7^14×(3×7-19)/7^15×(7+3)=
=5×7^14×2/7^15×10=
=10×7^14/10×7^15=1/7
з)
=3×19×3^21×(4×3+7)/19^2×3^24=
=3^22×19×19/19^2×3^24=
=1/9
е)
=((65^2-52^2)+(39^2-26^2))/(49-36)^2=
=((65-52)(65+52)+(39-26)(39+26))/13^2=(13×117+13×65)/13^2=
=13(117+65)/13^2=182/13=14
д)
=(93-76)^2/((85^2-68^2)+(51^2-34^2))=
=17^2/((85-68)(85+68)+(51-34)(51+34))=
=17^2/(17×153+17×85)=
=17^2/17(153+85)=17/238=
=14
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