Julie is asked to solve the system below elimination. Which of the following steps would be the best way to begin?
i.2x+y=-3
ii. 3x-2y=2
A. Multiply equation i by 2 and multiply equation ii by 3
B. Multiply equation by ii by 2
C. Multiply equation i by 2
D. Multiply equation ii by 2 and multiply equation i by-2
To begin solving the system by elimination, we want to choose the best way to eliminate one of the variables (x or y) when adding or subtracting the equations.
Looking at the equations:
i. 2x + y = -3
ii. 3x - 2y = 2
We can eliminate the y variable by multiplying equation i by 2 and equation ii by 3.
Therefore, the best way to begin is option A. Multiply equation i by 2 and multiply equation ii by 3.