The best first step for solving the given system using substitution while avoiding fractions: Solve for y in the first equation
The substitution method is an algebraic strategy for resolving simultaneous linear equations. This approach, as the name suggests, involves substituting the value of one variable from one equation into the second equation.
Given that: the system of equation:
( 3x + y = 9 ) .....[1]
( 5x - 3y = 1 ) .....[2]
We can write equation [1] as:
y = 9 - 3x
Using substitution substitute equation ( y = 9 - 3x ) into [2] we have;
5x - 3(9 - 3x ) = 1
Therefore, the optimum first step for applying substitution and avoiding fractions to solve the given situation is:
Solve for y in the first equation.
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