Question

The pair of equation 2x -5y +4 =0 and 2x +y -8 =0 has
a.
none of these
b.
unique solution
c.
no solution
d.
infinitely many solution

Answer 1

Answer:

d.

Step-by-step explanation:

infinitely many solutions as we cannot get the end point or end or last answer .

Answer 2

Answer:

Option(b) is correct , that is unique solution.

Step-by-step explanation:

Given the pair of equations are 2x-5y+4 = 0, and 2x +y -8 = 0

General equation is ax + by + c = 0

2x-5y+4 = 0 ------------(1)

Now comparing the coefficients of equation(1) and a1x + b1y + c1 = 0

a1 = 2, b1 = -5, c1 = 4.

2x + y -8 = 0  -------------(2)

Comparing the coefficients of equation(2) and a2x + b2y + c2 = 0

a2 = 2, b2 = 1, c2 = -8

Now $\frac{a1}{a2} =\frac{2}{2} =1$

$\frac{b1}{b2} = \frac{-5}{1} =-5$

$\frac{c1}{c2} =\frac{4}{-8} =-\frac{1}{2}$

Therefore, $\frac{a1}{a2}$ ≠ $\frac{b1}{b2}$

Therefore, option(b) is correct . that is unique solution.