Identify a possible first step using the elimination method to solve the system and then find the solution to the system. 2x – 3
y = 6 3x – y = 2 A) Multiply first equation by 3 and second equation by 2, solution (0, 2). B) Multiply first equation by -3 and second equation by 2, solution (0, 2). C) Multiply first equation by 3 and second equation by 2, solution (-2, 0). D) Multiply first equation by -3 and second equation by 2, solution (0, -2).
The step multiply x by 2 in the first equation and subtract the second equation will NOT produce a system with the same solution. The entire equation must be multiplied by 2.
Given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
An expression in mathematics which does not have meaning and so which is not assigned an interpretation. For example, division by zero is undefined in the field of real numbers.