Identify if the following simultaneous equations are set up for the substitution method: (1)(1)3𝑏−4𝑎3b−4a==1414 (2)(2)5𝑏+5𝑎5b+5a==88
Question
Identify if the following simultaneous equations are set up for the substitution method: (1)(1)3𝑏−4𝑎3b−4a==1414 (2)(2)5𝑏+5𝑎5b+5a==88
Solution
The given simultaneous equations are:
(1) 3b - 4a = 14 (2) 5b + 5a = 88
The substitution method involves solving one of the equations for one variable in terms of the other variable and then substituting this expression into the other equation.
Looking at the given equations, neither of them is solved for one variable in terms of the other. Therefore, these equations are not set up for the substitution method. However, they can be rearranged to use the substitution method. For example, you could solve equation (1) for a in terms of b, and then substitute this into equation (2).
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