By Substitution

Asked by vodafone.raniganj | 6th Jul, 2020, 03:44: PM

Expert Answer:

To solve the given linear equations using substitution method
0.2x + 0.1y = 25 ... (i)
2(x - 2) - 1.6y = 116
2x - 4 - 1.6y = 116
2x - 1.6y = 120
x - 0.8y = 60 ... (ii)
x = 60 + 0.8y ... (iii)
Substituing the value of x in (i), we get
0.2(60 + 0.8y) + 0.1y = 25
12 + 0.16y + 0.1y = 25
12 + 0.26y = 25
0.26y = 13
26y = 1300
y = 50
Substituting y in (iii), we have
x = 60 + 0.8(50) = 60 + 40 = 100
x = 100
Hence, x = 100 and y = 50.

Answered by Renu Varma | 7th Jul, 2020, 11:40: AM