Question

on comparing the ratios find out whether rhe following pair of equations are consistent or inconsistent :- 4x+2y=5 and 2x+3y=12​

Answer 1

Answer:

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

2x+3y-12=0 (2)

A1=4 B1=2 C1= -5

A2=2 B2=3 C2= -12

A1/A2=4/2=2/1=2

B1/B2=2/3

A1/A2 does not equal to B1/B2

therefore it is a inter secting lines

thanks

Answer 2

4x+2y=5*2

2x+3y=12*4

8x+4y=10

8x+12y=24

(-). (-). (-)

-8y= -14

y= -14/-8

y= 1.75

2x+3y=12

2x+3*1.75=12

2x+5.25=12

2x= 6.75

X= 6.75/2

X= 3.375