Respuesta :

Answer:

a = 9 / 7

step by step explanation:

9 / - a + 15 = 8

Determined the defined range

9 / ( - a ) + 15 = 8 , a ≠ 0

subtract 15 from each side

9 / - a + 15 - 15 = 8 - 15

calculate the difference

9 / - a = - 7

multiply both side of equation by - a

9 / - a × - a = - 7 × - a

9 = 7 a

divide each side by of equation by -7

9 / 7 = 7 a / 7

9 / 7 = a

swap the side of equation . ( optional )

a = 9 / 7

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]

  • [tex]\sf{6.) \frac{9}{ - a} + 15 = 8}[/tex]

[tex]\huge\underline{\sf{\red{Solution:}}}[/tex]

[tex] \quad \quad \quad \quad\sf{ ⟶ \frac{9}{ - a} + 15 = 8}[/tex]

[tex]\quad \quad \quad \quad\sf{ ⟶ \frac{9}{ - a} = 8 - 15}[/tex]

[tex]\quad \quad \quad \quad\sf{ ⟶ \frac{9}{ - a} = -7}[/tex]

[tex]\quad \quad \quad \quad\sf{ ⟶ 9 = 7a}[/tex]

[tex]\quad \quad \quad \quad\sf{ ⟶ \frac{9}{a} = \frac{7a}{a} }[/tex]

[tex]\quad \quad \quad \quad\sf{ ⟶ \frac{9}{ 7} = \frac{ \cancel{ \red{7}} a}{ \cancel{ \red{7} }} }[/tex]

[tex]\quad \quad \quad \quad \boxed{\sf{ ⟶ \frac{9}{7} = a } }[/tex]

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex] \huge \quad \quad \underline{ \boxed{\sf{ \red{ \frac{9}{7} = a }} }}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

#CarryOnLearning

[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]