Question

When solving the system by the elimination method, what occurs when the second row is multiplied by 6 and the two equations are added? {4x+6y=-2 and 3x-y=9

Answer 1

There is no term in y remaining. y terms have been eliminated.

Answer 2

3x-y=9
Multiply by 6:
6 * ( 3x-y=9 )

Answer 3

Can you multiply?

Answer 4

4x + 6y = -2
18x -6y = 54
Adding gives:
22x = 52
\[x=\frac{52}{22}=2\frac{4}{11}\]