Question 351985
1.{{{x + y = 0}}}
2.{{{3x + 3y = 4}}}
From eq. 1,
{{{x=-y}}}
Substitute into eq. 2,
{{{3(-y)+3y=4}}}
{{{0=4}}}
Since your equations lead to an inconsistency, there is no solution.
The lines are parallel.
The slope of eq. 1 is {{{m=-1}}}
{{{3x+3y=4}}}
{{{3y=-3x+4}}}
{{{y=-x+4/3}}}
The slope of eq. 2 is {{{m=-1}}}.
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{{{drawing(300,300,-6,6,-6,6,grid(1),graph(300,300,-6,6,-6,6,-x,-x+4/3))}}}
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1.{{{x + y = 0}}}
2.{{{3x + 2y = 4}}}
From eq. 1,
{{{x=-y}}}
Substitute into eq. 2,
{{{3(-y)+2y=4}}}
{{{highlight(y=4)}}}
Then from eq. 1,
{{{highlight(x=-4)}}}
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{{{drawing(300,300,-6,6,-6,6,circle(4,-4,0.2),grid(1),graph(300,300,-6,6,-6,6,-x,-(3/2)x+2))}}}