how many solutions does the system
have?
you can use the interactive graph below to
find the answer.
y = 3x + 3
y= –2x +3

To solve the system of equations we need to use elimination. But to do that we are required to rewrite the equations in implicit form.

So we have,

Then multiply the first equation by 2 on both sides and second equation by 3 on both sides. Resulting with,

Adding these two equations eliminates the first term in both since 6x - 6x = 0. Hence,

Now that we know the value of y we can insert it in either one of the equations in the system. I'll pick first one to get x.

So the solution to this system of equation are

Hope this helps.

r3t40