Solucion:
A.
1.
6x - 8 = -26
6x = -18
x = -3
2.
[tex]\frac{x}{3}[/tex] + 5 = 7
[tex]\frac{x + 5.3}{3}[/tex] = 7
[tex]\frac{x+15}{3}[/tex] = 7
x + 15 = 3(7)
x + 15 = 21
x = 6
3.
[tex]\frac{1}{4}[/tex] + x = [tex]\frac{17}{20}[/tex]
[tex]\frac{1 + 4.x}{4}[/tex] = [tex]\frac{17}{20}[/tex]
[tex]\frac{4x+1}{4}[/tex] = [tex]\frac{17}{20}[/tex]
20(4x + 1) = 4(17)
80x + 20 = 68
80x = 48
x = [tex]\frac{48}{80}[/tex]
x = [tex]\frac{3}{5}[/tex]
4.
[tex]\frac{2}{7}x[/tex] - [tex]\frac{9}{4}[/tex] = [tex]\frac{5}{3}[/tex]
[tex]\frac{2}{7}x[/tex] = [tex]\frac{5}{3}[/tex] + [tex]\frac{9}{4}[/tex]
[tex]\frac{2}{7}x[/tex] = [tex]\frac{5.4+3.9}{3.4}[/tex]
[tex]\frac{2}{7}x[/tex] = [tex]\frac{20+27}{12}[/tex]
[tex]\frac{2}{7}x[/tex] = [tex]\frac{47}{12}[/tex]
x = [tex]\frac{\frac{47}{12} }{\frac{2}{7} }[/tex]
x = [tex]\frac{47}{12}[/tex] [tex].[/tex] [tex]\frac{7}{2}[/tex]
x = [tex]\frac{329}{24}[/tex]
B.
La mitad de un numero desconocido es igual a 36. ¿Cual es el numero desconocido? Plantee la ecuacion y halle la respuesta.
Se plantea:
La mitad de un numero desconocido: [tex]\frac{x}{2}[/tex]
Es igual a 36: = 36
[tex]\frac{x}{2}[/tex] = 36
x = 2(36)
x = 72
Espero te haya ayudado:)
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Verified answer
Solucion:
A.
1.
6x - 8 = -26
6x = -18
x = -3
2.
[tex]\frac{x}{3}[/tex] + 5 = 7
[tex]\frac{x + 5.3}{3}[/tex] = 7
[tex]\frac{x+15}{3}[/tex] = 7
x + 15 = 3(7)
x + 15 = 21
x = 6
3.
[tex]\frac{1}{4}[/tex] + x = [tex]\frac{17}{20}[/tex]
[tex]\frac{1 + 4.x}{4}[/tex] = [tex]\frac{17}{20}[/tex]
[tex]\frac{4x+1}{4}[/tex] = [tex]\frac{17}{20}[/tex]
20(4x + 1) = 4(17)
80x + 20 = 68
80x = 48
x = [tex]\frac{48}{80}[/tex]
x = [tex]\frac{3}{5}[/tex]
4.
[tex]\frac{2}{7}x[/tex] - [tex]\frac{9}{4}[/tex] = [tex]\frac{5}{3}[/tex]
[tex]\frac{2}{7}x[/tex] = [tex]\frac{5}{3}[/tex] + [tex]\frac{9}{4}[/tex]
[tex]\frac{2}{7}x[/tex] = [tex]\frac{5.4+3.9}{3.4}[/tex]
[tex]\frac{2}{7}x[/tex] = [tex]\frac{20+27}{12}[/tex]
[tex]\frac{2}{7}x[/tex] = [tex]\frac{47}{12}[/tex]
x = [tex]\frac{\frac{47}{12} }{\frac{2}{7} }[/tex]
x = [tex]\frac{47}{12}[/tex] [tex].[/tex] [tex]\frac{7}{2}[/tex]
x = [tex]\frac{329}{24}[/tex]
B.
La mitad de un numero desconocido es igual a 36. ¿Cual es el numero desconocido? Plantee la ecuacion y halle la respuesta.
Se plantea:
La mitad de un numero desconocido: [tex]\frac{x}{2}[/tex]
Es igual a 36: = 36
[tex]\frac{x}{2}[/tex] = 36
x = 2(36)
x = 72
Espero te haya ayudado:)