Calculate the solution to these simultaneous equations using the elimination method: (1)(1)5𝑚+𝑛5m+n==1212 (2)(2)𝑚−𝑛m−n==66
Question
Calculate the solution to these simultaneous equations using the elimination method: (1)(1)5𝑚+𝑛5m+n==1212 (2)(2)𝑚−𝑛m−n==66
Solution
Sure, let's solve these equations step by step:
Given equations are:
(1) 5m + n = 12 (2) m - n = 6
Step 1: Add the two equations:
(1) + (2) => 5m + m = 12 + 6 => 6m = 18 => m = 18/6 => m = 3
Step 2: Substitute m = 3 into equation (2):
3 - n = 6 => n = 3 - 6 => n = -3
So, the solution to the system of equations is m = 3 and n = -3.
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