Question

consider the following system of equations. how solutions does it have (infinite, one, or no solutions). explain how you can tell without solving the system.4y = 8x - 12y= 2x - 8

Answer 1

The equations are,

4y = 8x -12 and y = 2x - 8

Simplify the equation 4y = 8x - 12.

`\begin{gathered} 4y=8x-12 \\ y=(1)/(4)(8x-12) \\ =2x-3 \end{gathered}`

The slope of line 4y = 8x - 12 and y = 2x - 8 is equal, but intercept of equations are different, so these line are parallel to each other and do not intersect at any point.

Thus there is no solution for the equation of line.

Answer: No solutions