Question

The pair of equations 2x-5y+4=0 and 2x+y-8=0 has

(1 Point)​

Answer 1

Answer:

the pair of equations has unique solution because a1/a2 is not equal to b1/b2

Answer 2

Question- The pair of equations 2x-5y+4=0 and 2x+y-8=0 has (a) a unique solution (c) infinitely many solutions (b) exactly two solutions (d) no solution

The pair of equations 2x-5y+4=0 and 2x+y-8=0 has a unique solution. (Option a)

Given:

Equation: 2x-5y+4=0 and 2x+y-8=0

To find:

The number of solutions

Solution:

We can express the given equations in the following form-

a1x+b1y+c1=0

a2x+b2y+c2=0

On comparing with the given equations, the values are as follows-

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

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

Now, we will equate the ratios of a1 and a2, b1 and b2.

Using values,

a1/a2=2/2=1/1

b1/b2= -5/1

So, a1/a2≠b1/b2.

The given pair of equations has only one unique solution.

Therefore, the pair of equations 2x-5y+4=0 and 2x+y-8=0 has a unique solution.

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