Question

PLEASE HURRY In order to solve the system of equations below, Juana multiplies each equation by a constant to eliminate the y terms.

4x-3y = 1
5x+4y=9
What are the resulting equations?
16x-12y - 4
15x+12y - 27
16x-12y=-4
15x+12y = 27
16x-12y=-4
15x-12y = 27

Answer 1

16x - 12y = 4

15x + 12y = 27

Explanation:

In order to eliminate the y terms, the equations must be manipulated in order to make the coefficient of the y-term equal 0 when the equations are added.

In this case, we are trying to make one equation with -3y and another equation with 4y result in a single equation with 0y.

We can do this by multiplying the first equation by 4 and the second equation by 3 to result in -12y and 12y. When these are added, the sum is 0y.

4 * (4x - 3y = 1) = 16x - 12y = 4

3 * (5x + 4y = 9) = 15x + 12y = 27

The resulting equations are

16x - 12y = 4

15x + 12y = 27

Answer 2

16x -12y = 4

15x +12y = 27

Explanation:

4x-3y = 1
5x+4y=9

We will use elimination to remove y from both equations.

We can multiply the first equation by 4

16x -12y = 4

and multiply the second equation by 3

15x +12y = 27

This will eliminate y from the system of equations, leaving only x as a variable.