Mathematics: What is the first step in solving the linear system { 2 x − 3 y = 11 − x + 5 y = − 9 by the substitution method in the most efficient way? A. Solve the first equation for x. B. Solve the first equation for y. C. Solve the second equation for x. D. Solve the second equation for y.

What is the first step in solving the linear system

CameronVand21

09.07.2020

D = ⅓

Step-by-step explanation:

Given the following data;

A = ⅙

B = ⅖

C = ⅒

To find what fraction of the chemical is D;

The sum of all the fractions of the chemical compound must be equal to one (1).

A + B + C + D = 1

Substituting the values, we would have;

⅙ + ⅖ + ⅒ + D = 1

Lowest common multiple (LCM) = 30

$\frac {5 + 12 + 3}{30} + D = 1$

$\frac {20}{30} + D = 1$

⅔ + D = 1

D = 1 - ⅔

Lowest common multiple (LCM) = 3

$D = \frac {3 - 2}{3}$

$D = \frac {1}{3}$

D = ⅓

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