Use substitution to solve the system of equations. How many solutions are there? 1/2x − 1/3y = 5
x = 2/3y + 10

A. There are no solutions.
B. There is one solution.
C. There are infinitely many solutions.
D. It is not possible to determine the number of solutions.

a

Step-by-step explanation:

452,489 to the nearest thousand is 452,000

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)