Question

Solve the following simultaneous 4x+y/3=8/3;x/2+3y/4=-5/2​

Answer 1

Answer:

(29/34, -2 4/17)

Step-by-step explanation:

4x+y/3=8/3 => 36x+3y=24 (multiply by 9)

x/2+3y/4=-5/2 => 2x+3y=-5 (multiply by 4)

subtract 36x+3y-2x-3y=24--5, 34x=29

x=29/34

2(29/34)+3y=-5

3y=-6 12/17

y=-2 4/17

Answer 2

Answer:

Either

x = 1.0625 and y = -4.75

OR

x = 3.4 and y = -5.2

Step-by-step explanation:

(4x) + (y/3) = (8/3)   _ _ _ _ i

(x/2) + (3y/4) = -(5/2) _ _ _ ii

Solving I

12x + y = 8 (Multiplying by 3)

y = 8 - 12x

Solving ii

(2x + 3y)/4 = -(5/2) (joining the two terms on the L.H.S.)

2x + 3y = -10 (Multiplying both sides by 4)

2x + 3(8-12x) = -10 (substituting value of y)

2x + 24 - 36x = -10

-32x = -34

x = (34/32)

x = 1+(2/32)

x = 1+(1/16)

x = 1 + 0.0625

x = 1.0625

y = 8 - 12x

y = 8 - 12(1.0625)

y = 8 - 12.75

y = -4.75

OR

(4x+y)/3 = 8/3 _ _ _ _ III

(x/2) + (3y/4) = -(5/2) _ _ _ IV

Solving III:

4x + y = 8 (Multiplying by 3)

y = 8 - 4x

Solving IV:

(2x + 3y)/4 = -(5/2) (joining both the terms on L.H.S.)

2x + 3y = -10 (Multiplying both sides by 4)

2x + 3(8 - 4x) = -10

2x + 24 - 12x = -10

-10x = -34

x = 3.4

y = 8 - 4x

y = 8 - 4(3.4)

y = 8 - 13.2

y = -5.2