Login/Sign Up
Home » Solve the following two variable Linear equation ,
Solve the following two variable Linear equation 0.5A+0.7B=0.74, 0.3A+0.5B=0.5
CBSE | Class 10 | Exercise 3.3 | Maths | Pair of Linear Equations In Two Variables | RD Sharma
Solve the following two variable Linear equation 0.5A+0.7B=0.74, 0.3A+0.5B=0.5

Now, let’s multiply LHS and RHS by 100for both (i) and (ii) for making integral coefficients and constants.

(i)A100 ⇒

50A+70B=74 ……………………….. (iii)

(ii) A100 ⇒

30A+50B=50 …………………………… (iv)

From (iii)

50A=74-70B

A=(74-70B)/50 ……………………………… (v)

Now, substituting A in equation (iv) we get,

30[(74-70B)/ 50]+50B=50

⇒ 222-210B+250B=250 [After taking LCM]

⇒ 40B=28

⇒ B=0.7

Now, by putting the value of B in the equation (v), we get

⇒ A=[74-70(0.7)]/50=0

⇒ A=25/50=1/2

∴ A=0.5

Thus, the value of A and B so obtained are 0.5 and 0.7 respectively.

 

i

More Material