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a number diveded by 2. the sum of the result and 6 is -2

 Oct 31, 2016
 #1
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N/2 = M

M + 6 = -2

 

Solve the following system:
{N/2 = M | (equation 1)
M+6 = -2 | (equation 2)
Express the system in standard form:
{N/2-M = 0 | (equation 1)
0 N+M = -8 | (equation 2)
Multiply equation 1 by 2:
{N-2 M = 0 | (equation 1)
0 N+M = -8 | (equation 2)
Add 2 × (equation 2) to equation 1:
{N+0 M = -16 | (equation 1)
0 N+M = -8 | (equation 2)
Collect results:
Answer: |N = -16               and                     M = -8

 Oct 31, 2016
 #2
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N/2 = M

M+6=-2

 

M=-2-6

M=-8 substitute

N/2 = -8 cross multiply

N = - 16

 Oct 31, 2016

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