Question

3 x+5y =8 is a linear equation in one variable.​

Answer 1

Answer:

no it's not a linear equation in one variable

Answer 2

Answer:

Step-by-step explanation:

Since, the system has unique solution at x=x  

1

​  

 and y=y  

1

​  

 

That means the lines intersect at only one point (x  

1

​  

,y  

1

​  

)

By putting x=x  

1

​  

 and y=y  

1

​  

 in given equations

3x  

1

​  

−5y  

1

​  

+1=0     .....(1)

2x  

1

​  

−y  

1

​  

+3=0        .....(2)

From equation(2), we have  

y  

1

​  

=2x  

1

​  

+3      .....(3)

Putting the value of y  

1

​  

 in  equation(1)

3x  

1

​  

−5(2x  

1

​  

+3)+1=0

⇒3x  

1

​  

−10x  

1

​  

−15+1=0

⇒−7x  

1

​  

−14=0

⇒−7x  

1

​  

=14

⇒x  

1

​  

=−2

Put this value in equation (3), we get

y  

1

​  

=2(−2)+3

y  

1

​  

=−1