Julie is asked to solve the system below by elimination. Which of the following steps would be the best way to begin?
i * 2x + y = - 3
ii * 3x - 2y = 2
(1 point)
Multiply equation by 2 and mutiply equation by 3
O Multiply equation if by 2
Multiply equation by 2
O Multiply equation by 2 and mply equation/oy-2
The best way to begin solving the system by elimination would be to multiply equation i by 2 and equation ii by 3.
The best way to begin solving the system by elimination is to multiply equation i by 2 and equation ii by 3.
To solve the given system by elimination, you need to eliminate one variable by adding or subtracting the two equations. In this case, the most efficient way to begin is by multiplying one or both of the equations by a constant so that the coefficients of one of the variables will become the same or multiples of each other.
Looking at the given system:
i) 2x + y = -3
ii) 3x - 2y = 2
To eliminate the y variable, you can start by multiplying equation (i) by 2 or equation (ii) by 3. This will allow you to create equal or opposite coefficients for the y term when you add or subtract the equations.
Therefore, the best way to begin is to multiply equation (i) by 2, resulting in:
2 * (2x + y) = 2 * (-3)
4x + 2y = -6
Now you can try to eliminate the y variable by adding or subtracting equations (ii) and (iii).