<em>First let's take our two given equations</em>
-2x-9y=-25
-4x-9y=-23
<em>Now we need to cancel out either </em><em>x</em><em> or </em><em>y </em><em>by making them the same values, but opposite on being negative or positive</em>
<em>We do this by multiplying the entire equation by a number </em>
-1(-4x-9y=-23)=<u>4x+9y=23</u>
<em>Now we have a new equation </em>
-2x-9y=-25
4x+9y=23
<em>Combine the two equations and your y will cancel out</em>
<em>2x=-2</em>
<em>Now we need to find </em><em>x</em><em> </em>
<em>2x=-2</em>
<em>Divide by 2 on each side </em>
<em>x=-1</em>
<em>Now we need to plugin our </em><em>x</em><em> to find the </em><em>y</em><em> by plugging the x into any of the first given equations</em>
<em>-2(-1)-9y=-25</em>
<em>2-9y=-25</em>
<em>-2 -2</em>
<em>-9y=-27</em>
<em>Divide by -9 on each side</em>
<em>y=3</em>
<em></em>
<em>x=-1, y=3</em>