solve the following pair of equations :- 5y= -2xy , 8x - 3y = 5xy
Answers
Answered by
1
Answer:
x=5/2
y=40/31
find the sum done in the attachment
Attachments:
Answered by
27
GivEn:
- 5y = -2xy
- 8x - 3y = 5xy
To do:
- Solve the pair of equations.
Solution:
• Let's use transposing method to solve it.
⠀⠀━━━━━━━━━━━━━━━━━━━⠀
« Now, Solving the pair of equations,
• Let's find x first,
→ 5y = -2xy
→ -5y = 2xy
→ -5y/y = 2x
Cancelling y,
→ 2x = -5
→ x = -5/2
⠀⠀━━━━━━━━━━━━━━━━━━━⠀
« Now, Let's solve the other equation to find y,
• Putting the value of x in the equation,
→ 8x - 3y = 5xy
→ 8(-5/2) - 3y = 5(-5/2)y
→ -20 - 3y = -25y/2
→ -20 = 3y - 25y/2
→ -20 = -19y/2
→ y = 40/19
∴ Hence, Value of x is -5/2 & value of y is 40/19.
⠀⠀━━━━━━━━━━━━━━━━━━━⠀
« Now, Let's verify,
→ -5y = 2xy
→ -5(40/19) = 2(-5/2) (40/19)
→ -10.52 = -10.52
∴ Hence, Verified!
Similar questions