Question

To eliminate the y terms and solve for x in the tewest steps, by which constants should the equations be multiplied by before

adding the equations together?
First equation: 4x - 3y = 34
Second equation: 3x + 2y - 17
The first equation should be multiplied by 2 and the second equation by 3.
The first equation should be multiplied by 2 and the second equation by -3.
The first equation should be multiplied by 3 and the second equation by 4.
The first equation should be multiplied by 3 and the second equation by -4.

Answer 1

First answer option:

"The first equation should be multiplied by 2 and the second equation by 3. "

Explanation:

The first equation should be multiplied by 2 and the second equation by 3. This way the term in y in the first equation becomes "(2) (-3y) = -6y", and the term in y in the second equation becomes "(3) (2y) = 6y" so when added term by term, the term in "y" disappears.

That is represented by the first statement in your list of possible answers