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sleet_krkn [62]
3 years ago
10

The difference of two numbers is 16 and the sum of their squares is 130. What are the numbers.

Mathematics
1 answer:
Korvikt [17]3 years ago
4 0
x - y = 16
x^2 + x^2 = 130

----------------
x^2 - y^2 = 256
+(x^2 + y^2 = 130)
2x^2 = 386
x^2 = 193
x = <span>13.892 (3DP)
----
</span>x - y = 16
13.892 - y = 16
-y = 2.108
y = -2.108
The numbers are: 13.892 and -2.108
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<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                                                                                                2x - 7 = -x + 5
  2. [Addition Property of Equality] Isolate <em>x</em> terms:                                            3x - 7 = 5
  3. [Addition Property of Equality] Isolate <em>x</em> term:                                              3x = 12
  4. [Division Property of Equality] Isolate <em>x</em>:                                                       x = 4

<u>Step 3: Solve for </u><em><u>y</u></em>

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  2. Substitute in <em>x</em>:                                                                                                y = -4 + 5
  3. Add:                                                                                                                 y = 1
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