solve the equation 8 x + 6 y equal to 48 and 3 + 4y equal to 24
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Answered by
3
Answer:
x = y = 24/7
Step-by-step explanation:
See in the attachment.
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Answered by
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❏ Solution
Given Equation:-
- 8x + 6y = 48 ....... [ .equ (1) ]
- 3x + 4y = 24 .......[ equ (2) ]
Multiply by 3 in (1) and 8 in (2)
- 24x + 18y = 144
- 24x + 32y = 272
____________________Sub. it
➩ - 14y = - 128
➩ y = -128/(-14)
➩ y = 64/7
[ keep value in equ(2) ]
➩ 3x + 4 × 64/7 = 24
➩ 3x = 24 - 256/7
➩ 3x = ( 168 - 256 )/7
➩ 3x = - 88/7
➩ x = -88/(7×3)
➩ x = -88/21
Thus:-
- Value of x = -88/21
- Value of y = 65/7
____________________
Answer Verification
[ Keep value of x and y in equ(2) ]
➩ 3 × -88/21 + 4 × 64/7 = 24
➩ -88/7 + 256/7 = 24
➩ ( -88 + 256 )/7 = 24
➩ 168/7 = 24
➩ 24 = 24
L.H.S. = R.H.S.
That's proved
So, we can say that our solution is correct
______________________
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