Respuesta :

Answer:

[tex]x=\frac{-10-z}{y}[/tex]

Step-by-step explanation:

1 Subtract z from both sides.

[tex]-10-z=xy[/tex]

2 Divide both sides by y

[tex]\frac{-10-z}{y} =x[/tex]

3 Switch sides.

[tex]x=\frac{-10-z}{y}[/tex]

2nd question

Answer: [tex]j=-\frac{4}{k-h}[/tex]

Step-by-step explanation:

1 Subtract h from both sides

[tex]-\frac{4}{j} =k-h[/tex]

2 Multiply both sides by j.

[tex]-4=(k-h)j[/tex]

3 Divide both sides by k−h.

[tex]-\frac{4}{k-h}=j[/tex]

4 Switch sides.

[tex]j=-\frac{4}{k-h}[/tex]

Answer:

[tex]\huge \boxed{x= \frac{-10-z}{y} } \\\\\\\\ \huge \boxed{j=\frac{4}{h-k} }[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

Solving for x:

[tex]-10=xy+z[/tex]

Subtracting z from both sides:

[tex]-10-z=xy[/tex]

Divding both sides by y:

[tex]\displaystyle \frac{-10-z}{y} =x[/tex]

Solving for j:

[tex]\displaystyle h-\frac{4}{j} =k[/tex]

Subtracting h from both sides:

[tex]\displaystyle - \frac{4}{j} =-h+k[/tex]

Multiplying both sides by j,

then dividing both sides by (-h + k):

[tex]\displaystyle - \frac{4}{-h+k} =j[/tex]

Simplifying the equation:

[tex]\displaystyle \frac{4}{-(-h+k)} =j[/tex]

[tex]\displaystyle \frac{4}{h-k} =j[/tex]

[tex]\rule[225]{225}{2}[/tex]

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