Question

Check if the lines representing the linear equations 2x – y = 3 and 4x – y = 5 intersect at a point?​

Answer 1

Step-by-step explanation:

2x−y3=0

4x−y−5=0

Here a1 =2, b1 =1, c1=−3 and a2=4, b2=1, c2=−5

$∴ \frac{a1}{a2} = \frac{2}{4} = \frac{1}{2}$

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

$\frac{c1}{c2} = \frac{ - 3}{ - 5}$

$∵\frac{a1}{a2} ≠ \frac{b1}{b2}$

∴ The line representing the equations intersect at a point.

$\huge{ son \: prodigal}$