Question

The total weight for the
murderer, x, and his/her luggage, y, was 230lbs. The
weight of the murderer was 10lbs less than twice the
weight of the luggage.


Equations

Answer 1

Answer:

x=110lbs and y=120lbs

Step-by-step explanation:

$Solution,\\\\x+y=230lbs$

When the weight of x is 10lbs less than y,

Then,

$x=y-10lbs$

Now we have,

$\hookrightarrow x+y=230lbs\\\\\hookrightarrow (y-10lbs)+y=230lbs\\\\\hookrightarrow 2y-10lbs=230lbs\\\\\hookrightarrow 2y=230lbs+10lbs\\\\\hookrightarrow 2y=240lbs\\\\\hookrightarrow y=240lbs/2\\\\\hookrightarrow y=120lbs$

Again,

As x=y-10lbs

Then,

$\hookrightarrow x=y-10lbs\\\\\hookrightarrow x=120lbs-10lbs\\\\\hookrightarrow x=110lbs$