Question

1.70p – 0.34q = 00.17(q +1) – 0.85(p - 1) = 0Consider the system of equations above. How many (p, q) solutions does this system have?

Answer 1

EXPLANATION

Given the system of equations;

(1) 1.70p - 0.34q = 0

(2) 0.17(q+1) - 0.85(p-1) = 0

Aplying the distributive property in (2):

(2) 0.17q + 0.17 - 0.85p +0.85 = 0

Isolating p in (1):

1.70p = 0.34q

Dividing both sides by 1.7:

p=0.34q/1.70

Simplifying:

p=0.2q

Substituting p=0.2 in (2):

(2) 0.17q + 0.17 -0.85(0.2)q + 0.85 = 0

Multiplying like terms:

(2) 0.17q + 0.17 -0.17q + 0.85 = 0

Adding like terms: