Solve this system using substitution and give your answer as a point: 7x - 5y = 35 and y = (1/5)x - 1. In other words, specify (x,y).

Question

Solve this system using substitution and give your answer as a point: 7x - 5y = 35 and y = (1/5)x - 1. In other words, specify (x,y).

Answer 1

When we substitute the second equation into the first it looks like this:

 

7x - 5[(1/5)x-1] = 35  now simplify

7x - 5/5x+5 =35

7x - x = 30  subtract 5 from both sides

6x = 30; x = 5

 

insert 5 for x in the first equation

7(5) - 5y = 35

35 - 5y = 35

-5y = 0

y = 0

 

points are (5,0)