<span>-4x+9Y=9 X-3Y=-6 -------------------- (Solve </span>x-3y=-6 <span>for x) Add 3y to each side </span><span>x - 3y + 3y </span>= -<span>6 + <span>3y </span></span>x = <span>3 y - <span>6 </span></span>------------------------------- Substitute 3y - 6 for x in <span>-4x + 9Y = 9 </span><span><span>-4<span>(<span>3y-6</span>)</span></span>+9y</span>=<span>9 </span>----------------------------------- Simplify -3y+24=<span>9 </span>-------------------------------------------- Add -24 on each side <span>-3y+24+-24</span>=<span>9+-24 </span>-3y=-<span>15 </span>---------------------------------------------------- Now divide each side by -3 -3y ÷ -3 = -15 ÷ -3 y = 5 Now you have Y! Now we find X ================================================================== Substitute 5 for y in x=<span>3y-<span>6 </span></span>x=<span><span><span>(3)</span><span>(5)-</span></span><span>6</span></span> ------------------------------------------------ Simplify x = 9 -------------------------------------------------------------- X = 9 and Y = 5 are your answers
