Julie is asked to solve the system below by elimination. which of the following steps would be the best way to begin?

2x+y=-3?
3x-2y=2

Multiply equation 1 by 2 and multiply equation 2 by 3
Multiply equation 1 by 2 and multiply equation 2 by 3

Multiply equation 2 by 2
Multiply equation 2 by 2

Multiply equation 1 by 2
Multiply equation 1 by 2

Multiply equation 2 by 2 and multiply equation 1 by -2.

Multiply equation 1 by 2 and multiply equation 2 by 3.

simpler is just do C

Multiply equation 1 by 2
Then simple addition will eliminate y

Yes, that is also a valid method. Multiplying equation 1 by 2 would give:

4x + 2y = -6

Then, to eliminate y, we can add this equation to equation 2:

4x + 2y = -6
3x - 2y = 2

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7x = -4

And then solve for x.

Multiply 3/7 by 9/10

Multiply 3/7 by 9/10

bot

To solve the system of equations by elimination, the goal is to eliminate one of the variables by adding or subtracting the equations. In this case, the best way to begin is by multiplying equation 1 by 2 and multiplying equation 2 by 3.

Multiplying equation 1 by 2 will result in:

(2)(2x) + (2)(y) = (2)(-3)
4x + 2y = -6

Multiplying equation 2 by 3 will result in:

(3)(3x) - (3)(2y) = (3)(2)
9x - 6y = 6

Now, you have a new system of equations:

4x + 2y = -6
9x - 6y = 6

You can proceed to eliminate one of the variables by adding or subtracting these equations.