Question

if the pair of linear equations 2x+5y=7 and 4x +3y=b is consistent,the value of b can be
a) any real number
b) 5
c) 16
d) 7​

Answer 1

(a) Any real number

Step-by-step explanation:

$2x+5y=7$..(1)

$4x+3y=b$..(2)

Compare it with $ax+by+c=0$

$a_1=2,b_1=5,c_1=7$

$a_2=4,b_2=3,c_2=b$

When the pair of linear equations is consistent then

$\frac{a_1}{a_2}\neq\frac{b_1}{b_2}$

$\frac{a_1}{a_2}=\frac{2}{4}=\frac{1}{2}$

$\frac{b_1}{b_2}=\frac{5}{3}$

$\frac{1}{2}\neq \frac{5}{3}$

We can see that

The condition of consistency does not depend on the value of b.

Therefore, the value of b can be any real number.

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https://brainly.in/question/15097543:answered by Nehalparmardps