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Explain how to isolate the variable in this equation -2/5x+7=15

Sagot :

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Answer:

[tex]x = -20[/tex]

Step-by-step explanation:

Use inverse operations and simplification to isolate the variable in the equation.

[tex]-\frac{2}{5}x + 7 = 15\\-7\\\\-\frac{2}{5}x = 8\\[/tex]

Now divide the equation by [tex](-\frac{2}{5})[/tex] remember, dividing a fraction is the same as multiplying by the reciprocal. The reciprocal of a fraction is when one switches the places of the numerator (number on top of a fraction bar), and the denominator (number on the bottom of the fraction bar).

[tex]-\frac{2}{5}x = 8\\[/tex]

÷[tex]-\frac{2}{5}[/tex]

[tex]x = 8 * (-\frac{5}{2})[/tex]

Simplify,

[tex]x = 4 *(- 5)\\\\ x= -20[/tex]

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