Question

In the xy-plane, the point (p,r) lies on the line with equation y=x+b, where b is a constant. The point with coordinates (2p,5r) lies on the line with equation y=2x+b. If p≠0, what is the value of rp? A) 25 B) 34 C) 43 D) 52​

Answer 1

Answer:

25

Step-by-step explanation:

ATQ

y=x+b (given)

r=p+b

r-p=b -------1

y=2x+b (given)

5r=4p+b

5r-4p=b -------2

equation 1 and 2 from pair of linear equation in two variable r and p . Solving eq. 1 and 2 , we get

r=-3b

p=-4b

Now, r÷p = -3b/-4b

= 3/4