You can put this solution on YOUR website! The point of intersection of two lines is where they meet, or put another way, where their x and y values are the same. Thus, we can find the point of intersection by setting them equal to each other. They both need to be equal to the same thing to begin with though. Right now that's not true. So let's solve each equation for y:
Now, the second equation:
Now that they are both equal to y, we can set them equal to each other:
Subtract 3x from both sides:
Divide both sides by -5:
So the x coordinate of the point where the lines meet is -2. To find the y coordinate, we plug in x=-2 into either equation (it doesn't matter since the lines are equal at this point). I will just use the first one:
So the point of intersection for the first problem is (-2,4). This should help you do the rest.
