3x/4-2y/3=5,2x/5+3y/5=17
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2x3+3y5−17=03x4+2y3−19=0By cross−multiplication, we getx[35×(−19)]−[23×(−17)]=−y[23×(−19)]−[34×(−17)]=1[(23×23)−(34×35)]x−575+343=−y−383+514=149−920x−115=−y112=1−1180⇒x−115=1−1180⇒
2x/3 + 3y/5 = 17
(10x+9y=255)/15
Hence, 10x+9y=255
Let x be 2
10*2 +9y=255
20+9y=255
9y=255-20
9y=235
y=235/9
So, x=2, y=26.11....
3x/4+2y/3=19
(9x+8y=288)/12
9x+8y=288
Let x be 3
hence, 27+8y=288
8y=288-27
8y=261
y=261/8
So, x=3 and y=32.625
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