Question

-3x-2y=-15
-3x+3y=0
the system of equation show above is graphed below find the solution to the system

Answer 1

To find the solution to the system of equations, we can first solve one of the equations for x in terms of y or vice versa, and then substitute that expression into the other equation.

Let's solve the second equation for x:

-3x + 3y = 0
-3x = -3y
x = y

Now we can substitute this expression for x into the first equation:

-3(y) - 2y = -15
-3y - 2y = -15
-5y = -15
y = 3

Now that we have found the value of y, we can substitute it back into the expression for x:

x = y
x = 3

Therefore, the solution to the system of equations is x = 3, y = 3. This means that the two equations intersect at the point (3, 3).