Identify the operation you should use when eliminating these simultaneous equations: (1)(1)5𝑚+𝑛5m+n==1212 (2)(2)𝑚+𝑛m+n==00
Question
Identify the operation you should use when eliminating these simultaneous equations: (1)(1)5𝑚+𝑛5m+n==1212 (2)(2)𝑚+𝑛m+n==00
Solution
To solve these simultaneous equations, you should use the operation of subtraction. Here's the step-by-step process:
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Write down the two equations:
5m + n = 12 m + n = 0
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Subtract the second equation from the first:
(5m + n) - (m + n) = 12 - 0
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Simplify the equation:
4m = 12
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Solve for m:
m = 12 / 4 m = 3
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Substitute m = 3 into the second equation to solve for n:
3 + n = 0 n = -3
So, the solution to the simultaneous equations is m = 3 and n = -3.
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