Question

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

Answer 1

Step-by-step 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:

$\boxed{y=-\frac{1}{3}}$

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

$-5x+6(-\frac{1}{3})=-2$

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.