Question

I will be your fan and give a medal

1.
-3x - 3y = 6
-2x + 5y = -24

Find the solution to the system of equations shown above by graphing.
a) x = 2, y = -4
b) x = 3, y = -4
c) x = 2, y = -3
d) x = -4, y = 2

Answer 1

What you do is turn the equations into y-intercept form and then graph them. The solutions will be where the x intercept is and the y intercept is.

Answer 2

So basically...

Answer 3

Equation 1: -3x - 3y = 6

-3x - 3y = 6
+3x +3x <--- Add 3x to both sides, canceling out one and adding . the other shown below.
-3y = 6 + 3x
/-3 /-3 <---Divide -3 (to leave y by itself) from both sides. Make . sure you divide it like (6 + 3x)/-3
y = x - 2
^Now graph that equation on the graph.

Answer 4

You don't have to graph the equation @HaleyRoadcap

You can simply plug in the for y into the other equation and solve for x. Plotting works too, but you would need both to be in y = mx + b form ans see where they would intersect.

Answer 5

And do the same with the other equation

Answer 6

@tHe_FiZiCx99 is right, as well. I just always found it easier to do the longer way.

Answer 7

ok, thx

Answer 8

That's the graphical way, I prefer it algebraically.