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3x/4-2y/3=5,2x/5+3y/5=17ܕܐ |
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Answer» Answer: 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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