Question

Suppose you want to use elimination to solve this system. braceleftzh 2x + 17y = −3 5x + 4y = 9 By what numbers would you need to multiply the two equations in order to eliminate y? By what numbers would you need to multiply the two equations in order to eliminate x instead? Drag and drop the correct numbers and words into the boxes to complete the explanation. You could multiply the first equation by and the second equation by , and then the resulting equations to eliminate y. You might choose to eliminate x instead. To do this, you would multiply the first equation by and the second equation by and then the equations.

Answer 1

Explanation:

The system of equations are expressed as

2x + 17y = −3 - - - - - - - - - 1

5x + 4y = 9 - - - - - - - - - - 2

In order to eliminate y, you will need to multiply equation 1 by 4 and equation 2 by 17. This would make them to have the same value of 68y.

You might choose to eliminate x instead. To do this, you will need to multiply equation 1 by 5 and equation 2 by 2. This would make them to have the same value of 10x.