I pretty much know this problem

4y+2x=18
3x+6y=26
multiply -3= -6x+-12y= -54
multiply 2 = 6x+-12= 52
The answer is -2 but I am not sure what to do next since both x and y were canceled out.

2 answers

When you multiplied the second equation by 2 your result is wrong.
It should be: 6x + 12y=52
NOT: 6x-12y=52
2x+4y=18
3x+6y=26
Notice I changed to order in the top equation.

Your equations are parallel lines, no solutions
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