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3 years ago

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

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

3 0

Answer:

$x = -20$

Step-by-step explanation:

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

$-\frac{2}{5}x + 7 = 15\\-7\\\\-\frac{2}{5}x = 8\\$

Now divide the equation by $(-\frac{2}{5})$ 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).

$-\frac{2}{5}x = 8\\$

÷ $-\frac{2}{5}$

$x = 8 * (-\frac{5}{2})$

Simplify,

$x = 4 *(- 5)\\\\ x= -20$

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