Identify the operation you should use when eliminating these simultaneous equations: (1)(1)2𝑓−3𝑒2f−3e==44 (2)(2)𝑓+3𝑒f+3e==2020
Question
Identify the operation you should use when eliminating these simultaneous equations:
Solution
To eliminate these simultaneous equations, you should use the operation of addition. Here are the steps:
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Write down the two equations:
2f - 3e = 4 ...(1)
f + 3e = 20 ...(2)
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Add equation (1) and equation (2) together. The '3e' in equation (1) and '-3e' in equation (2) will cancel each other out:
(2f - 3e) + (f + 3e) = 4 + 20
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Simplify the equation:
3f = 24
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Solve for 'f':
f = 24 / 3 = 8
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Substitute 'f = 8' into equation (2) to solve for 'e':
8 + 3e = 20
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Solve for 'e':
3e = 20 - 8 = 12
e = 12 / 3 = 4
So, the solution to the simultaneous equations is f = 8 and e = 4.
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