Question

Qn01:- Solve the following pair of Linear equations by the
Substitution Method:
8x+5y=9
3x+2y=4​

Answer 1

Answer:

Solution:-

According to the Question

One equation

$:\implies$ 8x +5y = 9

$:\implies$ 8x = 9-5y

$:\implies$ x = 9-5y/8 -----------(i)

Now, 2nd Equation

$:\implies$ 3x + 2y = 4

$:\implies$ 3x +2y -4 = 0 -----------(ii)

Substitute the value of x = 9-5y/8 in equation (ii) we get

$:\implies$ 3(9-5y)/8 +2y -4 =0

$:\implies$ (27-15y)/8 +2y = 4

$:\implies$ 27-15y + 16y = 32

$:\implies$ 27 +y = 32

$:\implies$ y = 32-27

$:\implies$ y = 5

Now, putting the value of y = 5 in equation (I) we get

$:\implies$ x = 9-5×5/8

$:\implies$ x = 9-25/8

$:\implies$ x = -16/8

$:\implies$ x = -2

Hence, the value of x = -2 & y = 5 .