Jenny is solving the linear equation 12+3X-5=8x+8-5x. her final two steps are: 7+3x=3x+8
7=8

x has no solution.

Step-by-step explanation:

In a solvable linear equation, you will always be able to simplify to the point where you only have 1 x on either side of the equal sign.

If you can cancel the x's, then no value for x could ever work, even trial and error would eventually make you conclude that, as a constant, or a literal number, can never equal a different one unless they are the same; 7 will NEVER equal 8, in any circumstances.

So the linear equation has no solution.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)