Identify if the following simultaneous equations are set up for the elimination method: (1)(1)4𝑏−2𝑎4b−2a==1414 (2)(2)6𝑏+2𝑎6b+2a==99
Question
Identify if the following simultaneous equations are set up for the elimination method: (1)(1)4𝑏−2𝑎4b−2a==1414 (2)(2)6𝑏+2𝑎6b+2a==99
Solution
The given simultaneous equations are:
(1) 4b - 2a = 14 (2) 6b + 2a = 9
The elimination method involves adding or subtracting the equations in order to eliminate one of the variables. In this case, if we add equation (1) and equation (2), the 'a' term will be eliminated:
(1) + (2) gives: 4b - 2a + 6b + 2a = 14 + 9 This simplifies to: 10b = 23
So, yes, the given simultaneous equations are set up for the elimination method.
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