Question 235029
Solve for x and y. 
{{{system(3x - 2y = 0,
2x - 3y = 1)}}}
<pre><font size = 4 color = "indigo"><b>
To eliminate y, multiply each by whatever is necessary to
cause the coefficients of y in the two equation to be
equal in magnitude by opposite in sign. 

So, multiply both sides of the first equation through by {{{3}}}
Multiply both sides of the second equation through by {{{-2}}}

{{{system(9x - 6y = 0,
-4x + 6y = -2)}}}

Add term by term:

{{{5x=-2}}}

Divide both sides by {{{5}}}

{{{x=-2/5}}}

-------------------

{{{system(3x - 2y = 0,
2x - 3y = 1)}}}

To eliminate x, multiply each by whatever is necessary to
cause the coefficients of x in the two equation to be
equal in magnitude by opposite in sign. 

So, multiply both sides of the first equation through by {{{-2}}}
Multiply both sides of the second equation through by {{{3}}}

{{{system(-6x + 4y = 0,
6x - 9y = 3)}}}

Add term by term:

{{{-5y=3}}}

Divide both sides by {{{-5}}}

{{{y=-3/5}}}

Edwin</pre>