Solve simultaneous equations x + 2y = 4; 3x + 6y = 12 graphically.
Answers
QUESTION-:
Solve simultaneous equations x + 2y = 4; 3x + 6y = 12 graphically.
EXPLANATION-:
Given 2 equation-:
x+2y=4 --(eq-1)
3x+6y=12 --(eq-2)
Simplifying the equations we get-:
x+2y=4
2y=4-x
y=(4-x)/2
Finding the value of x and corresponding value to y -:
If x=0 then-:
y=(4-0)/2
y=2
If x=2 then-:
y=(4-2)/2
y=1
If x=4 then -:
y=(4-4)/2
y=0
Therefore-:
x |0 , 2, 4
y |2, 1 , 0
Now -:
3x+6y=12
3(x+2y)=12
x+2y=4
Finding the value of x and corresponding value to y -:
If x=0 then-:
y=(4-0)/2
y=2
If x=2 then-:
y=(4-2)/2
y=1
If x=4 then -:
y=(4-4)/2
y=0
Therefore-:
x |0 , 2, 4
y |2, 1 , 0
Since the equations on solving are same therefore we can say that ,the values of x and y are infinite in the given equations .
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