Question

57x+43y=68 and 43x+57y=82 by linear equations​

Answer 1

Answer:

x=0.25

y=1.25

Step-by-step explanation:

57x+43y=68

+43x+57y=82

___________

100x+100y=150

x+y=1.5 ---1

57x+43y=68

-43x+57y=82

___________

14x-14y=-14

x-y=-1 ___2

adding 1&2

2x=1.5-1=0.5

x=0.25 using this value in 1

0.25+y=1.5

y=1.25

Answer 2

Answer:

43x+57y=257...(I)

57x+43y=243...(II)

Adding (I) and (II)

43x+57x+57y+43y=257+243

⇒100x+100y=500

⇒100(x+y)=500

⇒x+y=500/100

⇒x+y=5...(III)

Subtracting (II) from (I) we have

43x+57y−(57x+43y)=257−243

⇒43x+57y-57x-43y=14

⇒-14x+14y=13

⇒-14(x-y)=13

⇒x-y= -13/14...(IV)

Adding (III) and (IV)

x+y=5

x-y=-13/14

⇒2x=4.072

⇒x=2

Putting the value of x = 2 in (III) we get

2+y=5

⇒y=5-2

⇒y=3

Thus, (x,y)=(2,3)

Step-by-step explanation: