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Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.
a.18 x minus 15 = 72
b.50 x minus 25 = 72
c.18 x minus 9 = 72
d.3 (6 x minus 3) = 72
e.x=4.5

Respuesta :

semsee45

Answer:

C, D and E

Step-by-step explanation:

Given equation:

[tex]\dfrac35(30x-15)=72[/tex]

Use the distributive law  [tex]a(b-c)=ab-ac[/tex]:

[tex]\implies \dfrac35\cdot30x- \dfrac35\cdot15=72[/tex]

[tex]\implies \dfrac{3 \cdot30}5x- \dfrac{3 \cdot15}5=72[/tex]

[tex]\implies \dfrac{90}5x- \dfrac{45}5=72[/tex]

[tex]\implies 18x- 9=72[/tex]  ←  option c

Factor out common term 3:

[tex]\implies 3(6x- 3)=72[/tex]  ←  option d

Solve [tex]18x- 9=72[/tex]:

[tex]\implies 18x- 9+9=72+9[/tex]

[tex]\implies 18x=81[/tex]

[tex]\implies \dfrac{18x}{18}=\dfrac{81}{18}[/tex]

[tex]\implies x=4.5[/tex]  ←  option e

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