Solve for the indicated variable

Mathematics

1 answer:

GrogVix [38]3 years ago

7 0

Answer:

$X_1=\frac{YX_2}{X_2-Y} \\\\$

Step-by-step explanation:

$\frac{1}{Y}=\frac{1}{X_1}+\frac{1}{X_2}$

First subtract the 1/x2

$\frac{1}{Y} - \frac{1}{X_2}=\frac{1}{X_1}$

Next subtract the fractions on the left

$\frac{X_2-Y}{YX_2}=\frac{1}{X_1}\\$

Next Multiply by x1

$\frac{(X_1)X_2-Y}{YX_2}=1\\$

Next divide both sides by the remaining parts (not x1)

$X_1=\frac{YX_2}{X_2-Y} \\\\$

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One side of a rectangle is 9 millimeters shorter than six times the other side. Find the length of the longer side if we also kn

vodka [1.7K]

Given:

W(width) = (6L) - 9

L(length) = L

Equation:

2( [ 6L ] - 9) + 2 (L) = 150

= 12L - 18 + 2L = 150

= 12L + 2L = 150 + 18