Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you solve $\frac{15}{x} - 4 = \frac{6}{x} + 3$ $\frac { 15} { x } - 4= \frac { 6} { x } + 3$ ?

1 Answer

Nov 14, 2016

$x = 1 \frac{2}{7}$ $color(green)(x=1 2/7)$

Explanation:

Given
$XXX \frac{15}{x} - 4 = \frac{6}{x} + 3$ $color(white)("XXX")15/x-4=6/x+3$

Multiply everything on both sides by $x$ $x$
$XXX 15 - 4 x = 6 + 3 x$ $color(white)("XXX")15-4x=6+3x$

Add $4 x$ $4x$ to both sides
$XXX 15 = 6 + 7 x$ $color(white)("XXX")15=6+7x$

Subtract $6$ $6$ from both sides
$XXX 9 = 7 x$ $color(white)("XXX")9=7x$

Divide both sides by $7$ $7$
$XXX \frac{9}{7} = x \to r = \frac{9}{1} = 1 \frac{2}{7}$ $color(white)("XXX")9/7=x rarr r=9/1=1 2/7$

Related questions

See all questions in Equations with Ratios and Proportions

Impact of this question

1542 views around the world

You can reuse this answer
Creative Commons License