What is the solution to the following system:

(3,-1)

Step-by-step explanation:

Here we are given a pair of linear equation and we are asked to find its solution.

We can find the solution graphically as we are given the graph of two lines. The solution of two lines graphically is the point of intersection. Here we see that two lines are meeting at ((3,-1) . Hence the solution to them is (3,-1)

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)