Maths

[reeses4life]

1. Simplify the expression

3y/4y-8 ÷ 9y/2y²-4y

2. Simplify the expression

(2x³-x²-13x-6) ÷ (x-3)

3. Solve the equation

1/4 + 1/x = 3/8

4. Solve the equation

X+2/x+5 = x-4/x+4

[JJ109]

3. 1/4 + 1/x = 3/8
To get rid of the fractions, multiply both sides of the equation by the LCM (8x)
(8x)/4 + (8x) / x = (3*8x) / 8
Simplify each term
2x + 8 = 3x
Subtract 2x from both sides
8 = x

[JJ109]

Even simpler
subtract 1/4 from both sides
1/x = 1/8
x = 8

[Etch]

2. 2x² + 5x + 2

[roslyn251254]

if 4. is x + (2/x) = x - (4/x) + 4

then multiply everything by x ... and simplify ...x= -6

or if qu is (x+4) / (x+2) etc then cross multiply and simplify