Question

8x+5y=9 3x+2y=4 ( by substitution method )

Answer 1

Hi...☺️

Here is your answer...✌️

8x + 5y = 9 -----(1)

3x + 2y = 4 -----(2)

From (1) , we have

8x + 5y = 9

8x = 9 - 5y

x = (9 - 5y)/8 -----(3)

Putting value of x in eq (2) , we get

$\frac{3(9 - 5y)}{8} + 2y = 4 \\ \\ \frac{27 - 15y + 16y}{8} = 4 \\ \\ 27 + y = 4 \times 8 \\ \\ y = 32 - 27 \\ \\ \implies y = 5$

Putting y = 5 in eq (3) , we get

$x = \frac{9 - 5 \times 5}{8} \\ \\ x = \frac{9 - 25}{8} = \frac{ - 16}{8} \\ \\ \implies x = - 2$

HENCE,

x = -2 , y = 5

Answer 2

Hiii friend,

8X +5Y = 9.........(1)

3X +2Y = 4........(2)

FROM EQUATION 1 WE GET,

8X +5Y = 9

8X = 9-5Y

X = 9-5Y/8........(3)

PUTTING THE VALUE OF X IN EQUATION (2)

3X +2Y = 4

3 × (9-5Y/8) +2Y = 4

27 - 15Y /8 +2Y = 4

27-15Y +16Y = 4×8

Y = 32-27

Y = 5

Putting the value of Y in equation (3)

X = 9-5Y/8 = 9 - 5 × 5 /8 = -16/8 = -2

Hence,

X = -2 and Y = 5


HOPE IT WILL HELP YOU...... :-)