What types of lines will you get by drawing the graph of the equations x – 2y + 3 = 0 and 2x -4y + 5 ?
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Answer:
Parallel lines .
Step-by-step explanation:
Given :
x - 2 y - 3 = 0
Multiply it by 2 we get
2 x - 4 y - 6 = 0
2 x = 6 + 4 y ( i )
2 x - 4 y + 5 = 0
2 x = 4 y - 5 ( ii )
From ( i ) and ( ii ) we get
6 + 4 y = 4 y - 5
4 y - 4 y = 6 + 5
y = 0
Now put y = 0 in ( i ) we get
2 x = 6 + 4 y
2 x = 6 + 0
2 x = 6
x = 3
Now again put y = 0 in ( ii ) we get
2 x = 4 y - 5
2 x = 0 - 5
2 x = - 5
x = - 2.5
Now see the graph there is parallel line.
And also graph show so x and y is correct.
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