SOLUTION: find the equation of the line that passes through the intersection of the given pair of line and satisfies the other given condition. 5x-3y+2=0 and x+y-2=0; slope is 5

Algebra ->  Points-lines-and-rays -> SOLUTION: find the equation of the line that passes through the intersection of the given pair of line and satisfies the other given condition. 5x-3y+2=0 and x+y-2=0; slope is 5      Log On


   

Question 906269: find the equation of the line that passes through the intersection of the given pair of line and satisfies the other given condition.
5x-3y+2=0 and x+y-2=0; slope is 5
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

5x - 3y = -2

x + y = 2  |multiplying thru by 3 to  eliminate the y variable by adding the Eqs

8x = 4

x = 1/2  and y = 3/2. P(1/2,3/2)is point of intersection

***Using point-slope form, y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29 P(1/2,3/2)

y - 3/2 = 5(x-1/2)

y = 5x - 1

0r

5x - y = 1 in Standard Form