Answer:
(0,5)
Step-by-step explanation:
-2x+6y=30
5x+2y=10
I'm going to use elimination.
I'm choosing this method because both equations are in the same form.
They are in the form ax+by=c.
So in order to use elimination, I need one of my columns that contain the variables to contain opposites. Neither one of my columns with the variables have that. Example -2x and 5x are not opposites and 6y and 2y are not opposite.
I'm going to multiply both sides of equation 2 by -3. This will help me to achieve the opposites in a column.
So the system becomes:
-2x+6y=30
-15x-6y=-30
---------------------If we add the columns you will see that the variable y get's eliminated. Let's do that.
-2x+6y=30
-15x-6y=-30
-------------------Adding!
-17x+0y=0
-17x =0
x =0
So using one of the equations (you choose; doesn't matter which one you pick) along with x=0, I'm going to find y.
I choose equation 2.
That is I choose 5x+2y=10 along with x=0 to find y.
5x +2y=10 with x=0
5(0)+2y=10
0 +2y =10
2y=10
y=10/2
y=5
The solution is (x,y)=(0,5).
