Question

Solve this system of equations:3x - 2y = -8y=3/2x - 2

Answer 1

The system of equations that we have are:

3x - 2y = -8 ________(1)

y = 3/2x - 2 ________(2)

Multiply both sides in (2) by 2x:

=> 2xy = 3 - 4x ______(3)

From (1), make y the subject of the formula:

3x + 8 = 2y

=> y = 3x/2 + 4

Put this into (3):

2x(3x/2 + 4) = 3 - 4x

Open the bracket:

`3x^2\text{ + 8x = 3 - 4x}`

Collect like terms:

`3x^2\text{ + 8x + 4x = 3}`
`3x^2\text{ + 12x - 3 = 0}`

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