Question

-5x+6y=-2 and 5x-3y=1 How many solution

Answer 1

Explanation:

Find the values of x and y to determine how many solutions.

Use the elimination method. Add both of the equations.

Sum:

`3y=-1`

Divide each side by 3:

`\boxed{y=-(1)/(3)}`

Substitute y = -(1/3) into the first equation:

`-5x+6(-(1)/(3))=-2`

Multiply:

`-5x-2=-2`

Add 2 to both sides:

-5x = 0

We can determine:

`\boxed{x=0}`

(0, -1/3)

The system of equations have 1 solution.