Question

5. 0.5x + 0.3y = 4.56
0.02x - 0.9y = -0.912 by comparison method ​

Answer 1

Answer:

x= 8.4 , y= 1.2

Explanation

0.5x +0.3y = 4.56

5x/10 + 3y/10 = 456/ 100

5x/10 = -3y/10 + 456/100 ( taking L.C.M.)

1x/2 = -300y+ 4560/ 1000 ( by transposing)

x = 2(-300y+4560)/1000

so, x = -600y +9120/1000 -----------equation.1

0.02x - 0.9y = -0.912

2x/100 - 9y/10 = -912/1000

2x/100 = 9y/10 - 912/1000 ( by taking L.C.M.)

1x/50 = 900y - 912/1000 ( by transposing)

x = 50 ( 900y - 912/1000)

so, x = 45000y - 45600/1000-------------equation.2

By comparing eq. 1 and eq. 2,

-600y + 9120/1000 = 45000y - 45600/ 1000

-600y + 9120 = 45000y - 45600 ( by transposing)

9120 + 45600 = 45000y + 600y

54720 = 45600y

y = 54720/ 45600

so, y = 1.2

From eq. 1

put the value of Y in eq.1

x = -600y + 9210/1000

x = -600 (1.2) + 9120 /1000

x = -720 +9120/1000

x = 8400/1000

x = 8.4

• THANK YOU

Answer 2

comparison method solve thish Answer