 When solving by graphing, you want to take each equation and solve for y so that we can get slope intercept form, which is pretty easy to graph from. And we want to then look at our graph and kind of figure out what our solution is going to be. So first I'm going to take the right equation and I'm going to solve for y. I'm going to solve for y by subtracting 3x from both sides first. So we're left with 2y equals a negative 3x plus 4, divide by 2, divide everything on both sides by 2. So we have y equals negative 3 halves x plus 2. So we have our y intercept of 2. I'm going to plot that on the y axis and our slope is a negative 3 halves. So we go down 3 and 2 to the right, down 3, 2 to the right. And then I can backtrack that by going up 3, 2 to the left. And I'm going to draw myself a nice straight line, not super straight. Hopefully your line is straighter than mine. All right, so there's our first equation. Now we want to do the same thing with our second equation. Solve for y, get it on the graph, and then we want to figure out what's happening on our graph. So we'll subtract 6x from both sides and then we have, I'll kind of write this down here, a 4y equals negative 6x plus 10, divide everything by 4 and we have y is equal to, now a negative 6x over 4, we can reduce negative 6 over 4 to a negative 3 halves x plus, and then 10 over 4, we can reduce to 5 halves, divide both by 2. Now when I look at this one, one thing I notice right away before even graphing my second equation is the red line has an equation of negative 3 halves in the blue line. It's going to have the same equation of negative 3 halves. So that tells me that they're parallel at least. They could possibly be the same line because those would have the same slope. So the other thing to look at would be the y-intercept. So I have a y-intercept of 2 and a y-intercept of 5 halves, which is really the same thing as 2.5. Because the y-intercepts are different, these are two different lines, but with the same slope, so they're going to be parallel. So graphing the second one, I go up 2.5, and then I'm going to do my slope down 3 over 2, down 3 over 2, I'll backtrack up 3 over 2, and I get the second line kind of sloppy. Hopefully you guys use rulers, but those, they don't look parallel, but those are parallel lines. When you have parallel lines, the solution, we say there is no solution because these graphs are never going to cross.