Question

write Dy from the equations
4x-9y=7;x+2y=6​

Answer 1

Answer:

Answer

x=4

y=1

Step-by-step explanation:

Answer

x=4

y=1

Answer 2

Answer:

Given⤵

➡4x-9y= 7 and x+2y=6

To find⤵

➡Value of x and y.

Solution⤵

⚫Let

4x -9y=7 ... (1)

x+2y= 6 ... (2)

⚫Multiply by 4 in equation (2)

4x+8y= 24 ... (3)

⚫Subtracting equation (3) from (1)

17y= 31

y = 31/17

⚫Substituting the value of y= 31/17 in equation (1), we get

4x -9×31/17= 7

4x= 7 + 279/17

4x =( 119+279) /17

4x = 398/17

x= 398/68

✅Hence, the value of x is 398/68 and y is 31/17.

Proof ⤵

⚫Substituting the value of x = 398/68 and y= 31/17 in equation (1) , we get

$➡ 4 \times \frac{398}{68} - 9 \times \frac{31}{17} = 7 \\ ➡ \frac{398}{17} - \frac{279}{17} = 7 \\ ➡ \frac{398 - 279}{17} = 7 \\ ➡ \frac{119}{17} = 7 \\ ➡ 7 = 7 \\ RHS= LHS$

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