Find the value of the unknown in each equation
1. n - 4 = 6
2. 3x + 2 = 28
3. 2x + 7 +26
4. 1/3a - 3 = 6
5. 3/4a - 3 = 1/2a
6. 3(2a + 3) = 4a + 3
7. 2(c - 4) = 3(c-2)
8. n/2 + n/3 = 30


Sagot :

Equations

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[tex]\Large \bold{1.}[/tex] [tex]\large \tt n-4=6[/tex]

[tex]\large \tt n=6+4[/tex]

[tex]\Large \bold{\purple{n=10}}[/tex]

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[tex]\Large \bold{2.}[/tex] [tex]\large \tt 3x+2=28[/tex]

[tex]\large \tt 3x=28-2[/tex]

[tex]\large \tt 3x=26[/tex]

[tex]\large \tt 3x \div 3=26 \div 3[/tex]

[tex]\Large \bold{\purple{x=8. \dot{6}}}[/tex]

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[tex]\Large \bold{3.}[/tex] [tex]\large \tt 2x+7=26[/tex]

[tex]\large \tt 2x=26-7[/tex]

[tex]\large \tt 2x=19[/tex]

[tex]\large \tt 2x \div 2=19 \div 2[/tex]

[tex]\Large \bold{\purple{x=9.5}}[/tex]

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[tex]\Large \bold{4.}[/tex] [tex]\large \tt \frac{1}{3}a-3=6[/tex]

[tex]\large \tt \frac{a}{3}=6+3[/tex]

[tex]\large \tt \frac{a}{3} \times 3=9 \times 3[/tex]

[tex]\large \tt \frac{3a}{3}=27[/tex]

[tex]\large \tt \frac{\cancel{3}a}{\cancel{3}}=27[/tex]

[tex]\Large \bold{\purple{a=27}}[/tex]

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[tex]\Large \bold{5.}[/tex] [tex]\large \tt \frac{3}{4}a-3=\frac{1}{2}a[/tex]

[tex]\large \tt 4(\frac{3a}{4}-3)=4 (\frac{a}{2})[/tex]

[tex]\large \tt 3a-12=2a[/tex]

[tex]\large \tt 3a-2a=12[/tex]

[tex]\Large \bold{\purple{a=12}}[/tex]

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[tex]\Large \bold{6.}[/tex] [tex]\large \tt 3(2a+3)=4a+3[/tex]

[tex]\large \tt 6a+9=4a+3[/tex]

[tex]\large \tt 6a-4a=3-9[/tex]

[tex]\large \tt 2a \div 2=-6 \div 2[/tex]

[tex]\Large \bold{\purple{a=-3}}[/tex]

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[tex]\Large \bold{7.}[/tex] [tex]\large \tt 2(c-4)=3(c-2)[/tex]

[tex]\large \tt 2c-8=3c-6[/tex]

[tex]\large \tt 2c-3c=6-8[/tex]

[tex]\large \tt -c=-2[/tex]

[tex]\Large \bold{\purple{c=2}}[/tex]

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[tex]\Large \bold{8.}[/tex] [tex]\large \tt \frac{n}{2}+\frac{n}{3}=30[/tex]

[tex]\large \tt 6(\frac{n}{2}+\frac{n}{3})=6(30)[/tex]

[tex]\large \tt 3n+2n=180[/tex]

[tex]\large \tt 5n \div 5= 180 \div 5[/tex]

[tex]\Large \bold{\purple{n=36}}[/tex]

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