Question

2x - 5y = 6

3x + 2y = 4
If the system was to be solved using elimination, which would be correct factors to multiply each equation by
to eliminate the variable x?
a) The first equation by 2 and the second equation by 3
b) The first equation by 3 and the second equation by 2
c) The first equation by 5 and the second equation by 6
d) The first equation by 6 and the second equation by 5

Answer 1

To eliminate the variable x using the method of elimination, the correct factors to multiply each equation by to eliminate the variable x are: the first equation by 3 and the second equation by 2.

Step-by-step explanation:

To eliminate the variable x using the method of elimination, we need to multiply one equation by a constant so that the coefficients of x in both equations are equal in magnitude but opposite in sign. In this case, the correct factors to multiply each equation by to eliminate the variable x are:

b) The first equation by 3 and the second equation by 2

Multiplying the first equation by 3, we get: 6x - 15y = 18

Multiplying the second equation by 2, we get: 6x + 4y = 8

Now, when we add these two equations together, the x terms will cancel out, leaving us with an equation with only y as the variable.