Question

the graph of lines having equation x minus 2 Y is equals to 4 and 2 x minus 4 Y is equal to 12 will have how many solution​

Answer 1

Answer:

The two linear equation in two variable are 

1.x- 2 y=4

2. 2 x - 4 y=12

So, if two lines are parallel then their slopes are equal

And , if they are coincident , Line 1= K × Line 2 , or Line 2= P × Line 1, where P and K are any real number.

But if you will observe the two lines 

2×Line 1= 2 x - 4 y-8≠Line 1=2 x - 4 y-12

So, these two lines are not coincident.

Now, Line 1 can be written as, 2 y= x -4

Line , 2 can be written as

4 y=2 x -12

Comparing with slope intercept form of line, y= m x + c

Slope of line 1 

Slope of line 2 

→→As, slopes are equal. So, these two lines are Parallel.Also,

→Coefficient of x of line 2 = 2 × Coefficient of x of line 1

→Coefficient of y of line 2=2× Coefficient of y of line 2



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