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kondor19780726 [428]
3 years ago
7

The sum of two numbers is 18 their difference is 8

Mathematics
2 answers:
Anna007 [38]3 years ago
4 0

When we write out the system of equations, we will get:

x+y=18

x-y=8

 We can then use elimination to get just one variable.

 x+y=18

+x-y=  8

 Which gives us:   2x=26

 We then divide by 2 and get:    x=13

 We next plug that into one of the two equations and solve for the other variable:    (13)+y=18

We subtract 13 from both sides and get:   y=5

So the two numbers are 13 and 5.

~ I hope this helped, and I would appreciate Brainliest. ♡ ~ ( I request this to all the lengthy answers I give ! )

hram777 [196]3 years ago
3 0

<em><u></u></em>

<em><u>Answer:</u></em>

<em><u></u></em>

<em><u></u></em>

<em><u>13 and 5</u></em>

<em><u></u></em>

<em><u></u></em>

<em><u>Step-by-step explanation:</u></em>

<em><u></u></em>

<em><u></u></em>

<em><u>x+y=18</u></em>

<em><u></u></em>

<em><u></u></em>

<em><u>x-y=8</u></em>

<em><u></u></em>

<em><u></u></em>

<em><u>_____</u></em>

<em><u></u></em>

<em><u></u></em>

<em><u>2x=26</u></em>

<em><u></u></em>

<em><u></u></em>

<em><u>x=13</u></em>

<em><u></u></em>

<em><u></u></em>

<em><u>So the first number must be 13</u></em>

<em><u></u></em>

<em><u></u></em>

<em><u>13+y=18</u></em>

<em><u></u></em>

<em><u></u></em>

<em><u>y=5</u></em>

<em><u></u></em>

<em><u></u></em>

<u><em>And the second number must be 5</em></u>

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