Question

8x-2y=343x+6y=33 solve the system using the elimination method if there is no solution put no solution if there is infinite solutions put infinite

Answer 1

8x - 2y = 34

3x + 6y = 33

Multiply the first equation by 3, and add both equations to eliminate y

24x -6y = 102

+

3x + 6y = 33

__________

27x = 135

x= 135/27

x= 5

Replace x=5 on any equation and solve for y

8(5) - 2y = 34

40 - 2y= 34

-2y= 34 - 40

-2y= -6

y= -6/-2

y=3

Solution:

x= 5

y= 3