<PRE><B>Question 218986</B>
you are correct.
There is no solution.
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Reason was that you wound upo with 0 + 0 = 1 which is not true.
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Your two equations are:
2x + y = 1
4x + 2y = 3
Multiply both sides of the first equation to get:
4x + 2y = 2
4x + 2y = 3
Subtract first equation from the second equation to get:
0 + 0 = 1
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Statement is not true, therefore no solutions.
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Your equations turn out to be parallel lines.
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Converting both of them from the standard form of ax + by = c to the slope-intercept form of y = mx + b, I get
y = -2x + 1
y = -2x + 3/2
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m is the slope.
b is the y-intercept
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Your slopes are equal which indicates that the lines are parallel.
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graph of both of these equations is:
{{{graph(300,300,-1,1,-2,2,-2x+1,-2x+3/2)}}}
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