Question

How many solutions does the system of equations have? 2x + 3y = 6 y=2/3x-1 A. 0 B. 1 C. 2 D. infinite

Answer 1

The answer is B) 1.

Explanation:

Combine the equations like this:

`2x+3y=(2)/(3)x-1`

Then subtract
`3y` from all sides.

`2x+3y-3y=(2)/(3)x-1-3y`

Simplify the equation.

`2x=(2)/(3)x-1-3y`

Then subtract
`(2)/(3)x` from all sides.

`2x-(2)/(3)x=(2)/(3)x-1-3y-(2)/(3)x`

Simplify again.

`(4)/(3)x=-1-3y`

Multiply all sides by
`3`.

`3* (4)/(3)x=-3* 1-3 * 3y`

Simplify again.

`4x=-3-9y`

Divide all sides by
`4`

`(4x)/(4)=- (3)/(4)- (9y)/(4)`

Simplify again.

`x= \mathbf{(-3-9y)/(4)}`

Answer 2

the answer is a :)

Explanation: