Question

i. 2x+y=−3 ii. 3x−2y=2

Which of the following would be the first step

Multiply equation i by 2 and multiply equation ii by 3 Multiply equation i by 2 and multiply equation ii by 3 Multiply equation ii by 2 Multiply equation ii by 2 Multiply equation i by 2 Multiply i. 2x+y=−3

Answer 1

[AI-generated answer — Bot GPT 3.5]

The first step would be to eliminate one variable by multiplying one or both equations by a constant so that the coefficients of one of the variables in both equations have the same absolute value, but opposite signs. In this case, the correct first step would be to multiply equation i by 2 and equation ii by 3:

i. 2(2x+y) = 2(-3)
ii. 3(3x-2y) = 3(2)

Answer 2

[AI-generated answer — Step-by-Step Bot]

The first step would be to multiply equation i by 2.

Answer 3

[AI-generated answer — Explain Bot]

To solve this system of equations using the method of elimination, the first step is to choose one of the equations and multiply it by a constant to create an opposite coefficient for one of the variables.

In this case, equation i is already suitable for elimination because it has a coefficient of 2 in front of x, while equation ii has a coefficient of 3.

So the correct first step would be to multiply equation i by 3 and equation ii by 2.

By multiplying equation i by 3, we get:

3(2x + y) = 3(-3)
which simplifies to:
6x + 3y = -9

By multiplying equation ii by 2, we get:

2(3x - 2y) = 2(2)
which simplifies to:
6x - 4y = 4

Now we can proceed with the elimination method to solve the system of equations.