without graphing, decide whether the following system of linear equations has one solution, infinitely many solutions, or no solution. 8x=2y-16 and y=4x Explain. Would it not be No solution?

Question

wilsondanielle · Answer

When you rearrange the first equation to isolate for y, it yields y=4x-16.

You are looking for any values of x that mean 4x-16=4x

To find solutions, move the terms to the same side and solve for x.

4x-4x = 16

Since 0 is not equal to 16, there are no solutions.

anonymous · Answer

and if you simplify 8x=2y-16 wouldn't it be  y=4x the same as the second part?

campbell_st · Answer

the simple thing to do is rewrite the 1st equation in slope intercept form 

2y = 8x - 16     divide by 2    and y = 4x - 8

now what do you notice about this line and y = 4x

anonymous · Answer

Yeah! its the same as the second part! :)

campbell_st · Answer

well almost... both 

y = 4x - 8  and y = 4x   have the same slope... 

and you should know lines with the same slope don't intersect... 

so there is no point of intersection, so no solution

anonymous · Answer

Thank you @campbell_st