Respuesta:
a) x = 16
b) a = 4
c) n = 18
d) b = 9
e) x = 9
f) x = 225
Explicación paso a paso:
a.
[tex]\frac{x-6+8}{2}=\frac{2x-5}{3} \\\\3(x+2)=2(2x-5)\\3x+6=4x-10\\x=16[/tex]
b.
[tex]\frac{14a+196+15a+150} {21} =22\\29a+346=462\\29a=116\\a=4[/tex]
c.
[tex]\frac{3n+18-2n-6}{6}=5\\n+12=30\\n=18[/tex]
d.
[tex]\frac{24b+48+42b+54-8b+96}{24} =30\\58b+198=720\\58b=522\\b=9[/tex]
e.
[tex]\frac{15x-105+10x+60+6x+66}{30} =10\\31x+21=300\\31x=279\\x=9[/tex]
f.
[tex](\sqrt{49+\sqrt{x} } )^{2} =8^{2} \\49+\sqrt{x} =64\\\sqrt{x} =15\\x=(15)^{2} \\x=225[/tex]
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Verified answer
Respuesta:
a) x = 16
b) a = 4
c) n = 18
d) b = 9
e) x = 9
f) x = 225
Explicación paso a paso:
a.
[tex]\frac{x-6+8}{2}=\frac{2x-5}{3} \\\\3(x+2)=2(2x-5)\\3x+6=4x-10\\x=16[/tex]
b.
[tex]\frac{14a+196+15a+150} {21} =22\\29a+346=462\\29a=116\\a=4[/tex]
c.
[tex]\frac{3n+18-2n-6}{6}=5\\n+12=30\\n=18[/tex]
d.
[tex]\frac{24b+48+42b+54-8b+96}{24} =30\\58b+198=720\\58b=522\\b=9[/tex]
e.
[tex]\frac{15x-105+10x+60+6x+66}{30} =10\\31x+21=300\\31x=279\\x=9[/tex]
f.
[tex](\sqrt{49+\sqrt{x} } )^{2} =8^{2} \\49+\sqrt{x} =64\\\sqrt{x} =15\\x=(15)^{2} \\x=225[/tex]